A124080 10 times triangular numbers

[Jonathan Post]

On the other hand, every sequence is related to some interesting sequence...
I just submitted by form the following:

 NEW SEQUENCE FROM Jonathan Vos Post


%I A000001
%S A000001 11, 29, 31, 59, 61, 101, 149, 151, 211, 281, 359, 449, 659,
661, 911, 1049, 1051, 1201, 1361, 1531, 1709, 1901, 2099, 2309, 2311,
2531, 2999, 3001
%N A000001 Primes of the form A124080 (10 times triangular numbers), +1
or -1.
%C A000001 The j, such that A124080(j)-1 is prime or A124080(j)+1 is
prime, where repetition means a twin prime, are 1, 2, 2, 3, 3, 4, 5, 5,
6, 7, 8, 9, 11, 11, 13, 14, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 24.
%F A000001 {A124080(j)-1 when prime} U {A124080(j)+1 when prime} =
{i = 10*T(j)-1 such that i is prime} U {i = 10*T(j)+1 such that i is
prime} where T(j) = A000217(j) = j*(j+1)/2.
%e A000001 a(1) = A124080(1)+1 = (10*T(1)) - 1 = 10*(1*(1+1)/2) + 1 =
10+1 = 11 is prime.
a(2) = A124080(2)-1 = (10*T(2))-1 = 10*(2*(2+1)/2) - 1 = 30-1 = 29 is
prime.
a(3) = A124080(2)+1 = (10*T(2))+1 = 10*(2*(2+1)/2) + 1 = 30+1 = 31 is
prime.
%Y A000001 Cf. A000040, A000217, A028895, A046092, A045943, A002378,
A028896, A024966, A033996, A027468.
%O A000001 1,1
%K A000001 ,easy,nonn,
%A A000001 Jonathan Vos Post (jvospost2 at yahoo.com
<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>),
Nov 26 2006
RH
RA 192.20.225.32
RU
RI



On 11/26/06, Jonathan Post <jvospost3 at gmail.com> wrote:
>
> I wondered too.  It intersects the much more interesting
>  A000537 <http://www.research.att.com/%7Enjas/sequences/A000537>
>  Sum of first n cubes; or n-th triangular number squared.  at 100.
>
> Not that all of my roughly 1 kilophi sequences and comments are
> interesting, either.
>
> -- Jonathan
>
> On 11/26/06, zak seidov <zakseidov at yahoo.com> wrote:
> >
> > Neil, Zerinvary, seqfans,
> > Why this sequence?!
> > Thanks, Zak
> >
> > %I A124080
> > %S A124080
> > 0,10,30,60,100,150,210,280,360,450,550,660,780,910,1050,1200,1360,1530,
> > %T A124080
> > 1710,1900,2100,2310,2530,2760,3000,3250,3510,3780,4060,4350,4650,4960,
> > %U A124080
> > 5280,5610,5950,6300,6660,7030,7410,7800,8200,8610,9030,9460,9900,10350
> > %N A124080 10 times triangular numbers.
> > %F A124080 a(n)=10*C(n,2), n>=1
> > %p A124080 [seq(10*binomial(n,2) ,n=1..51)];
> > %Y A124080 Cf. A028895, A046092, A045943, A002378,
> > A028896, A024966, A033996, A027468.
> > %K A124080 easy,nonn,new
> > %O A124080 0,2
> > %A A124080 Zerinvary Lajos
> > (zerinvarylajos(AT)yahoo.com), Nov 24 2006
> >
> >
> >
> >
> >
> > ____________________________________________________________________________________
> > Do you Yahoo!?
> > Everyone is raving about the all-new Yahoo! Mail beta.
> > http://new.mail.yahoo.com
> >
>
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://list.seqfan.eu/pipermail/seqfan/attachments/20061126/8d16e336/attachment-0003.htm>