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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