A370151 Column 1 of triangle A370040.

1, 0, 9, -6, 54, -54, 264, -324, 1127, -1534, 4338, -6274, 15372, -22986, 50846, -77448, 158599, -243696, 470206, -724576, 1333275, -2052498, 3634077, -5575498, 9561408, -14596950, 24368133, -36983308, 60336459, -90983536, 145510968, -217948138, 342546543, -509567136, 788639494

Offset

2,3

Comments

The g.f. of triangle A370040, F(x,y), satisfies Sum_{n=-oo..+oo} (-1)^n * (x^n + y*F(x,y))^n = 1 + (y+2)*Sum_{n>=1} (-1)^n * x^(n^2).

Links

Paul D. Hanna, Table of n, a(n) for n = 2..202

Formula

a(n) = A370040(n,1) for n >= 2.

Crossrefs

Cf. A370040, A370150, A370151, A370152.

Sequence in context: A156033 A196005 A196002 * A038296 A058276 A184964

Adjacent sequences: A370148 A370149 A370150 * A370152 A370153 A370154

Keyword

sign

Author

Paul D. Hanna, Feb 10 2024

Status

approved