A370152 Column 2 of triangle A370040.

1, 0, 18, -19, 185, -294, 1463, -2715, 9648, -19005, 55413, -111069, 284560, -568913, 1331790, -2630648, 5761619, -11195907, 23296840, -44461191, 88813155, -166422196, 321471340, -591712017, 1111195198, -2010602744, 3685487712, -6561391792, 11775930023, -20647946256, 36371943075

Offset

3,3

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 = 3..202

Formula

a(n) = A370040(n,2) for n >= 3.

Crossrefs

Cf. A370040, A370150, A370151, A370152.

Sequence in context: A041672 A041674 A041676 * A041678 A197352 A056083

Adjacent sequences: A370149 A370150 A370151 * A370153 A370154 A370155

Keyword

sign

Author

Paul D. Hanna, Feb 10 2024

Status

approved