A101383 a(n) = n*(n+1)*(2*n^3 - n^2 + 2)/6.

0, 1, 14, 94, 380, 1135, 2786, 5964, 11544, 20685, 34870, 55946, 86164, 128219, 185290, 261080, 359856, 486489, 646494, 846070, 1092140, 1392391, 1755314, 2190244, 2707400, 3317925, 4033926, 4868514, 5835844, 6951155, 8230810, 9692336, 11354464, 13237169

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 + 8*x + 25*x^2 + 6*x^3)/(1 - x)^6. - Ilya Gutkovskiy, Feb 24 2017

E.g.f.: x*(6 + 36*x + 55*x^2 + 21*x^3 + 2*x^4)*exp(x)/6. - G. C. Greubel, Mar 11 2021

Maple

A101383:= n-> n*(n+1)*(2*n^3-n^2+2)/6: seq(A101383(n), n=0..35); # G. C. Greubel, Mar 11 2021

Mathematica

Table[n*(n+1)*(2*n^3-n^2+2)/6, {n, 0, 35}] (* G. C. Greubel, Mar 11 2021 *)

Prog

(Magma) [n*(n+1)*(2*n^3-n^2+2)/6: n in [0..40]]; // Vincenzo Librandi, May 26 2011
(Sage) [n*(n+1)*(2*n^3-n^2+2)/6 for n in (0..35)] # G. C. Greubel, Mar 11 2021

Crossrefs

Cf. A101382.

Sequence in context: A202901 A224328 A241396 * A044265 A044646 A241205

Adjacent sequences: A101380 A101381 A101382 * A101384 A101385 A101386

Keyword

nonn,easy

Author

N. J. A. Sloane, Jan 15 2005

Status

approved