A083063 a(n) = (n+1)^(n-1)/(n+2) + (-1)^n/(n+2).

1, 0, 1, 3, 21, 185, 2101, 29127, 478297, 9090909, 196495641, 4762874171, 128011456717, 3779594158353, 121637191772461, 4238682002231055, 159023502861656433, 6391554268241802725, 274019342889240109297, 12483047619047619047619, 602204392742319369344581

Offset

0,4

Links

Harvey P. Dale, Table of n, a(n) for n = 0..388

Formula

a(n) ~ e * n^(n-2). - Amiram Eldar, Jan 23 2026

Mathematica

Table[((n+1)^(n-1))/(n+2)+(-1)^n/(n+2), {n, 0, 20}] (* Harvey P. Dale, Nov 01 2025 *)

Prog

(SageMath) [abs(gaussian_binomial(n, 1, -(n+2))) for n in range(-1, 18)] # Zerinvary Lajos, May 31 2009

Crossrefs

Cf. A083062, A081216, A081209.

Sequence in context: A333090 A131763 A006199 * A012163 A012055 A344896

Adjacent sequences: A083060 A083061 A083062 * A083064 A083065 A083066

Keyword

easy,nonn

Author

Paul Barry, Apr 20 2003

Status

approved