A280797 a(n) = (n^n - 1)(n^n + 1)/(n + 1).

0, 0, 5, 182, 13107, 1627604, 310968905, 84777884106, 31274997412295, 15009463529699912, 9090909090909090909, 6783562448903313426110, 6115142092568526471803195, 6552380728090615475599972572, 8231779712749862388415318790417, 11984441202055255416780710220336914

Offset

1,3

Links

Table of n, a(n) for n=1..16.

Formula

a(n) = A117812(n)/(n + 1).

Example

a(0) = 0 because (0^0 - 1)*(0^0 + 1)/(0 + 1) = 0,
a(1) = 0 because (1^1 - 1)*(1^1 + 1)/(1 + 1) = 0,
a(2) = 5 because (2^2 - 1)*(2^2 + 1)/(2 + 1) = 5.

Mathematica

Table[If[n == 0, 0, (n^n - 1) (n^n + 1)/(n + 1)], {n, 0, 15}] (* Michael De Vlieger, Jan 09 2017 *)

Prog

(Magma) [(n^(2*n)-1)/(n+1): n in [0..15)];

Crossrefs

Cf. A000312, A081216, A117812, A179897.

Sequence in context: A256286 A304277 A208403 * A094081 A189645 A228694

Adjacent sequences: A280794 A280795 A280796 * A280798 A280799 A280800

Keyword

nonn

Author

Juri-Stepan Gerasimov, Jan 08 2017

Status

approved