login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A132617 Column 1 of triangle A132615. 5

%I #2 Mar 30 2012 18:37:04

%S 1,1,3,25,378,8460,252087,9392890,420142350,21927528948,1307723670020,

%T 87712176219801,6534001434836758,535159878432210000,

%U 47792303301224799288,4621416976280491118910,481020078381722064175750

%N Column 1 of triangle A132615.

%C Triangle T=A132615 is generated by odd matrix powers of itself such that row n+1 of T = row n of T^(2n-1) with appended '1' for n>=0 with T(0,0)=1.

%F a(n) is divisible by 2n-1 for n>0; a(n)/(2n-1) = A132619(n).

%o (PARI) {a(n)=local(A=vector(n+1), p); A[1]=1; for(j=1, n-1, p=n*(n-1)-(n-j)*(n-j-1); A=Vec((Polrev(A)+x*O(x^p))/(1-x))); A=Vec((Polrev(A)+x*O(x^p))/(1-x)); A[p+1]}

%Y Cf. A132615 (triangle); other columns: A132616, A132618; A132619.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Aug 24 2007

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 15:18 EDT 2024. Contains 371960 sequences. (Running on oeis4.)