A177394 Row sums of triangle A177390.

1, 2, 15, 529, 54945, 11143746, 3654567547, 1750747708767, 1148330852468801, 985536277566434002, 1070088898932158424231, 1432192631553017162819805, 2314201137499012194084967105, 4438705436711733625962181749794

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..13.

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!); ); sum(k=1, n+1, M[n+1, k])}

Crossrefs

Cf. A177390, A177391, A177392, A177393.

Sequence in context: A158109 A370014 A357856 * A367770 A136463 A361210

Adjacent sequences: A177391 A177392 A177393 * A177395 A177396 A177397

Keyword

nonn

Author

Paul D. Hanna, May 25 2010

Status

approved