A177391 Column 0 of triangle A177390.

1, 1, 10, 447, 50040, 10435970, 3470932404, 1677020809366, 1106343610197376, 953498812570622640, 1038635682902781680400, 1393647840093243232341272, 2256617352635816315546864448, 4335800009191929632579481763728

Offset

0,3

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..13.

Prog

(PARI) {a(n, p=2)=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^(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+1, 1]}

Crossrefs

Cf. A177390, A177392, A177393, A177394.

Sequence in context: A001327 A288325 A222665 * A304289 A217523 A232773

Adjacent sequences: A177388 A177389 A177390 * A177392 A177393 A177394

Keyword

nonn

Author

Paul D. Hanna, May 25 2010

Status

approved