A132874 Column 2 of triangle A132870 (first 30 terms only).

1, 9, 168, 7550, 697590, 110137692, 26208036736, 8679625824564, 3793297213287450, 2106377940585863780, 1444604183781894980064, 1196939202450517130129538, 1177113617757262856126839474, 1354167135614290716681101133750, 1800303411684459829895184825256320

Offset

0,2

Comments

Triangle T = A132870 obeys: the g.f. of row n of T^n = (y + n^2)^n for n >= 0.

Links

Jinyuan Wang, Table of n, a(n) for n = 0..29

Prog

(PARI) {a(n) = my(M=Mat([1, 0; 1, 1]), N, L); for(i=0, n, N=M; M=matrix(#N+1, #N+1, r, c, if(r>=c, if(r<=#N, (N^(#N))[r, c], polcoeff((x+(#M)^2)^(#M), c-1)))); L=sum(i=1, #M, -(M^0-M)^i/i); M=sum(i=0, #M, (L/#N)^i/i!); ); M[n+3, 3]}
for(n=0, 20, print1(a(n), ", "))

Crossrefs

Cf. A132870, A132871, A132872, A132873.

Sequence in context: A367135 A367139 A180819 * A223289 A281996 A017306

Adjacent sequences: A132871 A132872 A132873 * A132875 A132876 A132877

Keyword

nonn,fini,full

Author

Paul D. Hanna, Sep 29 2007

Extensions

Entry changed by Paul D. Hanna, Nov 17 2017

b-file with non-integral entries deleted by N. J. A. Sloane, Mar 02 2018

Status

approved