A058372 a(n) = -(n + 1)*(2*n^2 + n - 12)/6.

2, 3, 1, -6, -20, -43, -77, -124, -186, -265, -363, -482, -624, -791, -985, -1208, -1462, -1749, -2071, -2430, -2828, -3267, -3749, -4276, -4850, -5473, -6147, -6874, -7656, -8495, -9393, -10352, -11374, -12461, -13615, -14838, -16132, -17499, -18941, -20460, -22058, -23737

Offset: 0

Author

N. J. A. Sloane, Dec 18 2000

Keywords

• sign
• easy

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Programs

Magma

[-(n + 1)*(2*n^2 + n - 12)/6 : n in [0..80]]; // Wesley Ivan Hurt, Aug 19 2022

Mathematica

LinearRecurrence[{4,-6,4,-1},{2,3,1,-6},100] (* Paolo Xausa, Oct 22 2023 *)

Formula

G.f.: (2 - 5*x + x^2)/(1 - x)^4.