A101377 a(n) = n^2*(n^3-n+2)/2.

0, 1, 16, 117, 496, 1525, 3816, 8281, 16192, 29241, 49600, 79981, 123696, 184717, 267736, 378225, 522496, 707761, 942192, 1234981, 1596400, 2037861, 2571976, 3212617, 3974976, 4875625, 5932576, 7165341, 8594992, 10244221, 12137400, 14300641, 16761856, 19550817

Offset

0,3

References

T. A. Gulliver, Sequences from Cubes of Integers, Int. Math. Journal, 4 (2003), 439-445.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

G.f.: x*(1 + 10*x + 36*x^2 + 14*x^3 - x^4)/(1 - x)^6. - Ilya Gutkovskiy, Feb 24 2017

Mathematica

Table[n^2 (n^3-n+2)/2, {n, 0, 40}] (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 1, 16, 117, 496, 1525}, 40] (* Harvey P. Dale, Jan 29 2021 *)

Prog

(Magma) [n^2*(n^3-n+2)/2: n in [0..40]]; // Vincenzo Librandi, Jun 15 2011
(PARI) a(n)=n^2*(n^3-n+2)/2 \\ Charles R Greathouse IV, Feb 24 2017

Crossrefs

Sequence in context: A044729 A251423 A279163 * A302897 A145216 A200173

Adjacent sequences: A101374 A101375 A101376 * A101378 A101379 A101380

Keyword

nonn,easy

Author

N. J. A. Sloane, Jan 15 2005

Status

approved