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User:Jon Awbrey/SEQUENCES (view source)

Revision as of 20:36, 17 December 2009

6,589 bytes added ,  20:36, 17 December 2009
→‎A061396
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===Plain Wiki Table===
 
===Plain Wiki Table===
   −
<br>
+
====Large Scale====
    
{| align="center" border="1" cellpadding="12" cellspacing="1" style="text-align:center; width:96%"
 
{| align="center" border="1" cellpadding="12" cellspacing="1" style="text-align:center; width:96%"
Line 126: Line 126:  
|}
 
|}
   −
<br>
+
====Small Scale====
 +
 
 +
{| align="center" border="1" cellpadding="12" cellspacing="1" style="text-align:center; width:96%"
 +
|+ style="height:24px" | <math>\text{Table 1.} ~~ \text{Prime Factorizations, Riffs, and Rotes}</math>
 +
|- style="height:48px; background:#f0f0ff"
 +
| <math>\text{Integer}\!</math>
 +
| <math>\text{Factorization}\!</math>
 +
| <math>\text{Notation}\!</math>
 +
| <math>\text{Riff Digraph}\!</math>
 +
| <math>\text{Rote Graph}\!</math>
 +
| <math>\text{Traversal}\!</math>
 +
|- style="height:48px"
 +
| <math>1\!</math>
 +
| <math>1\!</math>
 +
| &nbsp;
 +
| &nbsp;
 +
| [[Image:Rooted Node Big.jpg|12px]]
 +
| &nbsp;
 +
|-
 +
| <math>2\!</math>
 +
| <math>\text{p}_1^1\!</math>
 +
| <math>\text{p}\!</math>
 +
| [[Image:Rooted Node Big.jpg|12px]]
 +
| [[Image:Rote 2 Big.jpg|24px]]
 +
| <math>((~))</math>
 +
|-
 +
| <math>3\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_2^1 & = & \text{p}_{\text{p}_1^1}^1
 +
\end{array}</math>
 +
| <math>\text{p}_\text{p}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 3 Big.jpg|24px]]
 +
| <math>(((~))(~))</math>
 +
|-
 +
| <math>4\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_1^2 & = & \text{p}_1^{\text{p}_1^1}
 +
\end{array}</math>
 +
| <math>\text{p}^\text{p}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 4 Big.jpg|38px]]
 +
| <math>((((~))))</math>
 +
|-
 +
| <math>5\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_3^1
 +
& = & \text{p}_{\text{p}_2^1}^1
 +
\\[6pt]
 +
& = & \text{p}_{\text{p}_{\text{p}_1^1}^1}^1
 +
\end{array}</math>
 +
| <math>\text{p}_{\text{p}_{\text{p}}}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 5 Big.jpg|24px]]
 +
| <math>((((~))(~))(~))</math>
 +
|-
 +
| <math>6\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_1^1 \text{p}_2^1
 +
& = & \text{p}_1^1 \text{p}_{\text{p}_1^1}^1
 +
\end{array}</math>
 +
| <math>\text{p} \text{p}_{\text{p}}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 6 Big.jpg|48px]]
 +
| <math>((~))(((~))(~))</math>
 +
|-
 +
| <math>7\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_4^1
 +
& = & \text{p}_{\text{p}_1^2}^1
 +
\\[6pt]
 +
& = & \text{p}_{\text{p}_1^{\text{p}_1^1}}^1
 +
\end{array}</math>
 +
| <math>\text{p}_{\text{p}^{\text{p}}}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 7 Big.jpg|38px]]
 +
| <math>(((((~))))(~))</math>
 +
|-
 +
| <math>8\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_1^3
 +
& = & \text{p}_1^{\text{p}_2^1}
 +
\\[6pt]
 +
& = & \text{p}_1^{\text{p}_{\text{p}_1^1}^1}
 +
\end{array}</math>
 +
| <math>\text{p}^{\text{p}_{\text{p}}}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 8 Big.jpg|38px]]
 +
| <math>(((((~))(~))))</math>
 +
|-
 +
| <math>9\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_2^2
 +
& = & \text{p}_{\text{p}_1^1}^{\text{p}_1^1}
 +
\end{array}</math>
 +
| <math>\text{p}_\text{p}^\text{p}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 9 Big.jpg|48px]]
 +
| <math>(((~))(((~))))</math>
 +
|-
 +
| <math>16\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_1^4
 +
& = & \text{p}_1^{\text{p}_1^2}
 +
\\[6pt]
 +
& = & \text{p}_1^{\text{p}_1^{\text{p}_1^1}}
 +
\end{array}</math>
 +
| <math>\text{p}^{\text{p}^{\text{p}}}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 16 Big.jpg|52px]]
 +
| <math>((((((~))))))</math>
 +
|}
    
===Nested Wiki Table===
 
===Nested Wiki Table===
   −
<br>
+
====Large Scale====
    
{| align="center" border="1" width="96%"
 
{| align="center" border="1" width="96%"
Line 266: Line 385:  
|}
 
|}
   −
<br>
+
====Small Scale====
 +
 
 +
{| align="center" border="1" width="96%"
 +
|+ style="height:25px" | <math>\text{Table 1.} ~~ \text{Prime Factorizations, Riffs, and Rotes}</math>
 +
|- style="height:50px; background:#f0f0ff"
 +
|
 +
{| cellpadding="12" style="background:#f0f0ff; text-align:center; width:100%"
 +
| width="10%" | <math>\text{Integer}\!</math>
 +
| width="19%" | <math>\text{Factorization}\!</math>
 +
| width="14%" | <math>\text{Notation}\!</math>
 +
| width="19%" | <math>\text{Riff Digraph}\!</math>
 +
| width="19%" | <math>\text{Rote Graph}\!</math>
 +
| width="19%" | <math>\text{Traversal}\!</math>
 +
|}
 +
|-
 +
|
 +
{| cellpadding="12" style="text-align:center; width:100%"
 +
| width="10%" | <math>1\!</math>
 +
| width="19%" | <math>1\!</math>
 +
| width="14%" | &nbsp;
 +
| width="19%" | &nbsp;
 +
| width="19%" | [[Image:Rooted Node Big.jpg|12px]]
 +
| width="19%" | &nbsp;
 +
|}
 +
|-
 +
|
 +
{| cellpadding="12" style="text-align:center; width:100%"
 +
| width="10%" | <math>2\!</math>
 +
| width="19%" | <math>\text{p}_1^1\!</math>
 +
| width="14%" | <math>\text{p}\!</math>
 +
| width="19%" | [[Image:Rooted Node Big.jpg|12px]]
 +
| width="19%" | [[Image:Rote 2 Big.jpg|24px]]
 +
| width="19%" | <math>((~))</math>
 +
|}
 +
|-
 +
|
 +
{| cellpadding="12" style="text-align:center; width:100%"
 +
| width="10%" | <math>3\!</math>
 +
| width="19%" |
 +
<math>\begin{array}{lll}
 +
\text{p}_2^1 & = & \text{p}_{\text{p}_1^1}^1
 +
\end{array}</math>
 +
| width="14%" | <math>\text{p}_\text{p}\!</math>
 +
| width="19%" | <math>\cdots</math>
 +
| width="19%" | [[Image:Rote 3 Big.jpg|24px]]
 +
| width="19%" | <math>(((~))(~))</math>
 +
|-
 +
| <math>4\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_1^2 & = & \text{p}_1^{\text{p}_1^1}
 +
\end{array}</math>
 +
| <math>\text{p}^\text{p}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 4 Big.jpg|38px]]
 +
| <math>((((~))))</math>
 +
|}
 +
|-
 +
|
 +
{| cellpadding="12" style="text-align:center; width:100%"
 +
| width="10%" | <math>5\!</math>
 +
| width="19%" |
 +
<math>\begin{array}{lll}
 +
\text{p}_3^1
 +
& = & \text{p}_{\text{p}_2^1}^1
 +
\\[10pt]
 +
& = & \text{p}_{\text{p}_{\text{p}_1^1}^1}^1
 +
\end{array}</math>
 +
| width="14%" | <math>\text{p}_{\text{p}_{\text{p}}}\!</math>
 +
| width="19%" | <math>\cdots</math>
 +
| width="19%" | [[Image:Rote 5 Big.jpg|24px]]
 +
| width="19%" | <math>((((~))(~))(~))</math>
 +
|-
 +
| <math>6\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_1^1 \text{p}_2^1
 +
& = & \text{p}_1^1 \text{p}_{\text{p}_1^1}^1
 +
\end{array}</math>
 +
| <math>\text{p} \text{p}_{\text{p}}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 6 Big.jpg|48px]]
 +
| <math>((~))(((~))(~))</math>
 +
|-
 +
| <math>7\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_4^1
 +
& = & \text{p}_{\text{p}_1^2}^1
 +
\\[10pt]
 +
& = & \text{p}_{\text{p}_1^{\text{p}_1^1}}^1
 +
\end{array}</math>
 +
| <math>\text{p}_{\text{p}^{\text{p}}}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 7 Big.jpg|38px]]
 +
| <math>(((((~))))(~))</math>
 +
|-
 +
| <math>8\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_1^3
 +
& = & \text{p}_1^{\text{p}_2^1}
 +
\\[10pt]
 +
& = & \text{p}_1^{\text{p}_{\text{p}_1^1}^1}
 +
\end{array}</math>
 +
| <math>\text{p}^{\text{p}_{\text{p}}}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 8 Big.jpg|38px]]
 +
| <math>(((((~))(~))))</math>
 +
|-
 +
| <math>9\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_2^2
 +
& = & \text{p}_{\text{p}_1^1}^{\text{p}_1^1}
 +
\end{array}</math>
 +
| <math>\text{p}_\text{p}^\text{p}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 9 Big.jpg|48px]]
 +
| <math>(((~))(((~))))</math>
 +
|-
 +
| <math>16\!</math>
 +
|
 +
<math>\begin{array}{lll}
 +
\text{p}_1^4
 +
& = & \text{p}_1^{\text{p}_1^2}
 +
\\[10pt]
 +
& = & \text{p}_1^{\text{p}_1^{\text{p}_1^1}}
 +
\end{array}</math>
 +
| <math>\text{p}^{\text{p}^{\text{p}}}\!</math>
 +
| <math>\cdots</math>
 +
| [[Image:Rote 16 Big.jpg|52px]]
 +
| <math>((((((~))))))</math>
 +
|}
 +
|}
    
===Old ASCII Version===
 
===Old ASCII Version===
Jon Awbrey
12,080

edits

Retrieved from "https://mywikibiz.com/Special:MobileDiff/101581"

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