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

%I #9 Dec 03 2013 13:09:38

%S 0,8,42,120,260,480,798,1232,1800,2520,3410,4488,5772,7280,9030,11040,

%T 13328,15912,18810,22040,25620,29568,33902,38640,43800,49400,55458,

%U 61992,69020,76560,84630,93248,102432,112200,122570,133560,145188,157472,170430

%N n * (n + 1) * (3*n + 1).

%F From _Wesley Ivan Hurt_, Dec 02 2013, (Start)

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

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

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

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

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

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

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

%p A027903:=n->n*(n + 1)*(3*n + 1); seq(A027903(n), n=0..100); # _Wesley Ivan Hurt_, Dec 02 2013

%t Table[n (n + 1) (3*n + 1), {n, 0, 100}] (* _Wesley Ivan Hurt_, Dec 02 2013 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.

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Last modified August 18 07:06 EDT 2024. Contains 375255 sequences. (Running on oeis4.)