A368046 a(n) = ((n + 1)^2 * (5*n + 4)*n) / 12.

0, 3, 21, 76, 200, 435, 833, 1456, 2376, 3675, 5445, 7788, 10816, 14651, 19425, 25280, 32368, 40851, 50901, 62700, 76440, 92323, 110561, 131376, 155000, 181675, 211653, 245196, 282576, 324075, 369985, 420608, 476256, 537251

Offset

0,2

Links

Table of n, a(n) for n=0..33.

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) = Sum_{k=0..n} A368045(k).

G.f.: x*(3 + 6*x + x^2)/(1 - x)^5. - Stefano Spezia, Dec 10 2023

Mathematica

A368046[n_]:=((n+1)^2(5n+4)n)/12; Array[A368046, 50, 0] (* or *)
LinearRecurrence[{5, -10, 10, -5, 1}, {0, 3, 21, 76, 200}, 50] (* Paolo Xausa, Dec 10 2023 *)

Crossrefs

Cf. A368045.

Sequence in context: A054646 A228317 A322228 * A109721 A067002 A110450

Adjacent sequences: A368043 A368044 A368045 * A368047 A368048 A368049

Keyword

nonn,easy

Author

Peter Luschny, Dec 09 2023

Status

approved