A132872 Column 0 of triangle A132870 (first 30 terms only).

1, 1, 6, 132, 7156, 729895, 119636226, 28619359629, 9374688646296, 4019108763468573, 2180474045020534600, 1458451073246597456521, 1177921104348705716833164, 1129393220849450436646366223, 1267471534789127127256106086245

Offset

0,3

Comments

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

This yields non-integer values for n = 30, 31, 62, 63, 94, 95, ..., so the integer sequence ends at n = 29.

Links

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

Prog

(PARI) {a(n)=local(M=Mat(1), N, L); for(i=1, 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+1, 1]}
(PARI) A132872(n)=T(n, 0) \\ with T(.) from A132870. The code above is very inefficient.
A132872_vec(N)=T(N)[, 1] \\ compute all terms a(0..N) at once, in the same time as required for computing only a(N). - M. F. Hasler, Nov 19 2017

Crossrefs

Cf. A132870, A132871, A132873.

Sequence in context: A277305 A328889 A009688 * A152289 A015503 A350611

Adjacent sequences: A132869 A132870 A132871 * A132873 A132874 A132875

Keyword

nonn,fini,full

Author

Paul D. Hanna, Sep 29 2007

Extensions

Edited by M. F. Hasler, Nov 22 2017

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

Status

approved