A101378 a(n) = n^2*(n^3+1)/2.

0, 1, 18, 126, 520, 1575, 3906, 8428, 16416, 29565, 50050, 80586, 124488, 185731, 269010, 379800, 524416, 710073, 944946, 1238230, 1600200, 2042271, 2577058, 3218436, 3981600, 4883125, 5941026, 7174818, 8605576, 10255995, 12150450, 14315056, 16777728, 19568241

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 + 12*x + 33*x^2 + 14*x^3)/(1 - x)^6. - Ilya Gutkovskiy, Feb 24 2017

Prog

(Magma) [n^2*(n^3+1)/2: n in [0..40]]; // Vincenzo Librandi, Jun 15 2011
(PARI) a(n)=n^2*(n^3+1)/2 \\ Charles R Greathouse IV, Feb 24 2017

Crossrefs

Sequence in context: A107971 A292314 A002424 * A107417 A056125 A223212

Adjacent sequences: A101375 A101376 A101377 * A101379 A101380 A101381

Keyword

nonn,easy

Author

N. J. A. Sloane, Jan 15 2005

Status

approved