A177393 Column 2 of triangle A177390.

1, 9, 264, 23750, 4569480, 1489987002, 725138126272, 487943071058088, 431440981663816800, 483341275063628344880, 667481182958666445171264, 1112083798205779338412567536, 2196958538604557380438104102784

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+2, 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+3, 3]}

Crossrefs

Cf. A177390, A177391, A177392, A177394.

Sequence in context: A280178 A189643 A003387 * A081059 A202884 A188963

Adjacent sequences: A177390 A177391 A177392 * A177394 A177395 A177396

Keyword

nonn

Author

Paul D. Hanna, May 25 2010

Status

approved