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Directory:Jon Awbrey/Papers/Riffs and Rotes (view source)
Revision as of 19:36, 22 January 2010
, 19:36, 22 January 2010→Selected Sequences
<p><math>\text{p}^\text{p} \text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!</math></p><br>
<p><math>\text{p}^\text{p} \text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!</math></p><br>
<p><math>a(60) ~=~ 7</math></p>
<p><math>a(60) ~=~ 7</math></p>
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===A062860===
* '''Smallest j with n nodes in its riff (rooted index-functional forest).'''
* [http://oeis.org/wiki/A062860 OEIS Wiki Entry for A062860].
{| align="center" border="1" cellpadding="10"
|+ style="height:25px" | <math>a(n) = \text{Least Integer}~ j ~\text{with}~ n ~\text{Nodes in Its Riff}</math>
| valign="bottom" |
<p> </p><br>
<p><math>1\!</math></p><br>
<p><math>a(0) ~=~ 1</math></p>
| valign="bottom" |
<p>[[Image:Riff 2 Big.jpg|20px]]</p><br>
<p><math>\text{p}\!</math></p><br>
<p><math>a(1) ~=~ 2</math></p>
| valign="bottom" |
<p>[[Image:Riff 3 Big.jpg|40px]]</p><br>
<p><math>\text{p}_\text{p}\!</math></p><br>
<p><math>a(2) ~=~ 3</math></p>
| valign="bottom" |
<p>[[Image:Riff 5 Big.jpg|65px]]</p><br>
<p><math>\text{p}_{\text{p}_{\text{p}}}\!</math></p><br>
<p><math>a(3) ~=~ 5</math></p>
| valign="bottom" |
<p>[[Image:Riff 10 Big.jpg|90px]]</p><br>
<p><math>\text{p} \text{p}_{\text{p}_{\text{p}}}\!</math></p><br>
<p><math>a(4) ~=~ 10</math></p>
|-
| valign="bottom" |
<p>[[Image:Riff 15 Big.jpg|90px]]</p><br>
<p><math>\text{p}_\text{p} \text{p}_{\text{p}_{\text{p}}}\!</math></p><br>
<p><math>a(5) ~=~ 15</math></p>
| valign="bottom" |
<p>[[Image:Riff 30 Big.jpg|115px]]</p><br>
<p><math>\text{p} \text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!</math></p><br>
<p><math>a(6) ~=~ 30</math></p>
| valign="bottom" |
<p>[[Image:Riff 55 Big.jpg|115px]]</p><br>
<p><math>\text{p}_{\text{p}_\text{p}} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!</math></p><br>
<p><math>a(7) ~=~ 55</math></p>
| valign="bottom" |
<p>[[Image:Riff 105 Big.jpg|115px]]</p><br>
<p><math>\text{p}_\text{p} \text{p}_{\text{p}_\text{p}} \text{p}_{\text{p}^\text{p}}\!</math></p><br>
<p><math>a(8) ~=~ 105</math></p>
| valign="bottom" |
<p>[[Image:Riff 165 Big.jpg|135px]]</p><br>
<p><math>\text{p}_\text{p} \text{p}_{\text{p}_\text{p}} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!</math></p><br>
<p><math>a(9) ~=~ 165</math></p>
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