A027903 n * (n + 1) * (3*n + 1).

0, 8, 42, 120, 260, 480, 798, 1232, 1800, 2520, 3410, 4488, 5772, 7280, 9030, 11040, 13328, 15912, 18810, 22040, 25620, 29568, 33902, 38640, 43800, 49400, 55458, 61992, 69020, 76560, 84630, 93248, 102432, 112200, 122570, 133560, 145188, 157472, 170430

Offset

0,2

Links

Table of n, a(n) for n=0..38.

Formula

From Wesley Ivan Hurt, Dec 02 2013, (Start)

a(n) = n(n + 1)(3n + 1).

a(n) = 3n^3 + 4n^2 + n.

a(n) = A002378(n) * A016777(n).

a(n) = A049451(n) * A001477(n+1).

a(n) = A001477(n) * A000567(n-1).

a(n) = A001477(n) * A001477(n+1) * A016777(n).

a(n) = A117642(n) + A016742(n) + A001477(n). (end)

Maple

A027903:=n->n*(n + 1)*(3*n + 1); seq(A027903(n), n=0..100); # Wesley Ivan Hurt, Dec 02 2013

Mathematica

Table[n (n + 1) (3*n + 1), {n, 0, 100}] (* Wesley Ivan Hurt, Dec 02 2013 *)

Crossrefs

Sequence in context: A086392 A234860 A292059 * A231069 A319235 A341764

Adjacent sequences: A027900 A027901 A027902 * A027904 A027905 A027906

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved