A177392 Column 1 of triangle A177390.

1, 4, 72, 4624, 683300, 178979256, 72215891104, 41253720775296, 31544658525648240, 31017951980440480000, 38057564566180231623056, 56911365875990047904578944, 101785693668820682351404925728

Offset

0,2

Comments

Triangle T=A177390 obeys: g.f. of row n of T^(2n) = (2n^2 + y)^n for n>=0.

Links

Table of n, a(n) for n=0..12.

Prog

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

Crossrefs

Cf. A177390, A177391, A177393, A177394.

Sequence in context: A224900 A012995 A076744 * A158269 A024257 A152653

Adjacent sequences: A177389 A177390 A177391 * A177393 A177394 A177395

Keyword

nonn

Author

Paul D. Hanna, May 25 2010

Status

approved