A100855 a(n) = n*(n^3-n^2+n+1)/2.

0, 1, 7, 33, 106, 265, 561, 1057, 1828, 2961, 4555, 6721, 9582, 13273, 17941, 23745, 30856, 39457, 49743, 61921, 76210, 92841, 112057, 134113, 159276, 187825, 220051, 256257, 296758, 341881, 391965, 447361, 508432, 575553, 649111, 729505, 817146, 912457

Offset: 0

Author

N. J. A. Sloane, Jan 15 2005

Keywords

• nonn
• easy

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 (5,-10,10,-5,1).

Programs

Magma

[n*(n^3-n^2+n+1)/2: n in [0..40]]; // Vincenzo Librandi, Jun 15 2011

PARI

a(n)=n*(n^3-n^2+n+1)/2 \\ Charles R Greathouse IV, Oct 21 2022

Formula

G.f. x*(1+2*x+8*x^2+x^3) / (1-x)^5 . - R. J. Mathar, Jun 15 2011