A273193 Numerators of the nonzero coefficients in the expansion of 1/hypergeom([Seq_{k=1..m-1} k/m], [], (x/m)^m) for m = 3.

1, 2, -16, 904, -25792, 971936, -135875584, 7531512832, -483853915136, 318210896625152, -26070230641872896, 2367374418301892608, -708155254090757373952, 76928188353501090512896, -9044296958948501037252608, 3432739126498593173574909952, -465041552940366454298747600896

Offset: 0

Author

Peter Luschny, Jun 06 2016

Keywords

• sign
• frac

Crossrefs

Cf. A000012 (m=1), A002596 (m=2), A273192, A273194.

Programs

Maple

Blist := proc(m, size) local H, S;
H := m -> hypergeom([seq(k/m, k=1..m-1)], [], (x/m)^m);
S := m -> series(1/H(m), x, (m+1)*size);
seq((-1)^n*numer(coeff(S(m), x, m*n)), n=0..size) end:
A273193_list := size -> Blist(3, size);