login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A101383
a(n) = n*(n+1)*(2*n^3 - n^2 + 2)/6.
2
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.
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: A224328 A241396 A370721 * A044265 A044646 A241205
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Jan 15 2005
STATUS
approved