<font size="6"><font size="4">On the other hand, every sequence is related to some interesting sequence... I just submitted by form the following:</font><br>
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<pre><font size="6"><tt>NEW SEQUENCE FROM Jonathan Vos Post<br><br><br>%I A000001<br>%S A000001 11, 29, 31, 59, 61, 101, 149, 151, 211, 281, 359, 449, 659, <br>661, 911, 1049, 1051, 1201, 1361, 1531, 1709, 1901, 2099, 2309, 2311,
<br>2531, 2999, 3001<br>%N A000001 Primes of the form A124080 (10 times triangular numbers), +1 <br>or -1.<br>%C A000001 The j, such that A124080(j)-1 is prime or A124080(j)+1 is <br>prime, where repetition means a twin prime, are 1, 2, 2, 3, 3, 4, 5, 5,
<br>6, 7, 8, 9, 11, 11, 13, 14, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 24.<br>%F A000001 {A124080(j)-1 when prime} U {A124080(j)+1 when prime} = <br>{i = 10*T(j)-1 such that i is prime} U {i = 10*T(j)+1 such that i is <br>
prime} where T(j) = A000217(j) = j*(j+1)/2.<br>%e A000001 a(1) = A124080(1)+1 = (10*T(1)) - 1 = 10*(1*(1+1)/2) + 1 = <br>10+1 = 11 is prime.<br>a(2) = A124080(2)-1 = (10*T(2))-1 = 10*(2*(2+1)/2) - 1 = 30-1 = 29 is <br>prime.
<br>a(3) = A124080(2)+1 = (10*T(2))+1 = 10*(2*(2+1)/2) + 1 = 30+1 = 31 is <br>prime.<br>%Y A000001 Cf. A000040, A000217, A028895, A046092, A045943, A002378, <br>A028896, A024966, A033996, A027468.<br>%O A000001 1,1<br>%K A000001 ,easy,nonn,
<br>%A A000001 Jonathan Vos Post (<a href="http://us.f551.mail.yahoo.com/ym/Compose?To=jvospost2@yahoo.com&YY=86457&y5beta=yes&y5beta=yes&order=down&sort=date&pos=0&view=a&head=b">jvospost2@yahoo.com
</a>), Nov 26 2006<br>RH <br>RA <a href="http://192.20.225.32">192.20.225.32</a><br>RU <br>RI </tt></font></pre>
<br><br><div><span class="gmail_quote">On 11/26/06, <b class="gmail_sendername">Jonathan Post</b> <<a href="mailto:jvospost3@gmail.com">jvospost3@gmail.com</a>> wrote:</span><blockquote class="gmail_quote" style="border-left: 1px solid rgb(204, 204, 204); margin: 0pt 0pt 0pt 0.8ex; padding-left: 1ex;">
I wondered too. It intersects the much more interesting<br>
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<tbody><tr><td align="left" valign="top" width="100"><a href="http://www.research.att.com/%7Enjas/sequences/A000537" title="Sum of first n cubes; or n-th triangular number squared." target="_blank" onclick="return top.js.OpenExtLink(window,event,this)">
A000537</a></td>
<td width="5"><br>
</td>
<td align="left" valign="top">
Sum of first n cubes; or n-th triangular number squared. </td></tr></tbody>
</table>
at 100.<br>
<br>
Not that all of my roughly 1 kilophi sequences and comments are interesting, either.<br><span class="sg">
<br>
-- Jonathan</span><div><span class="e" id="q_10f262a1ce6bd918_2"><br><br><div><span class="gmail_quote">On 11/26/06, <b class="gmail_sendername">zak seidov</b> <<a href="mailto:zakseidov@yahoo.com" target="_blank" onclick="return top.js.OpenExtLink(window,event,this)">
zakseidov@yahoo.com</a>> wrote:</span><blockquote class="gmail_quote" style="border-left: 1px solid rgb(204, 204, 204); margin: 0pt 0pt 0pt 0.8ex; padding-left: 1ex;">
Neil, Zerinvary, seqfans,<br>Why this sequence?!<br>Thanks, Zak<br><br>%I A124080<br>%S A124080<br>0,10,30,60,100,150,210,280,360,450,550,660,780,910,1050,1200,1360,1530,<br>%T A124080<br>1710,1900,2100,2310,2530,2760,3000,3250,3510,3780,4060,4350,4650,4960,
<br>%U A124080<br>5280,5610,5950,6300,6660,7030,7410,7800,8200,8610,9030,9460,9900,10350<br>%N A124080 10 times triangular numbers.<br>%F A124080 a(n)=10*C(n,2), n>=1<br>%p A124080 [seq(10*binomial(n,2) ,n=1..51)];<br>
%Y A124080 Cf. A028895, A046092, A045943, A002378,<br>A028896, A024966, A033996, A027468.<br>%K A124080 easy,nonn,new<br>%O A124080 0,2<br>%A A124080 Zerinvary Lajos<br>(zerinvarylajos(AT)yahoo.com), Nov 24 2006<br><br><br>
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