A017032 a(n) = (7*n + 4)^4.

256, 14641, 104976, 390625, 1048576, 2313441, 4477456, 7890481, 12960000, 20151121, 29986576, 43046721, 59969536, 81450625, 108243216, 141158161, 181063936, 228886641, 285610000, 352275361, 429981696, 519885601, 623201296, 741200625, 875213056, 1026625681

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

G.f.: -(81*x^4 + 9595*x^3 + 34331*x^2 + 13361*x + 256) / (x-1)^5. - Colin Barker, Oct 21 2015

a(n) = A000583(A017029(n)). - Michel Marcus, Oct 21 2015

Mathematica

(7*Range[0, 20] + 4)^4 (* Harvey P. Dale, Mar 03 2012 *)

Prog

(Magma) [(7*n+4)^4: n in [0..40] ]; // Vincenzo Librandi, Jul 16 2011
(PARI) Vec(-(81*x^4+9595*x^3+34331*x^2+13361*x+256)/(x-1)^5 + O(x^50)) \\ Colin Barker, Oct 21 2015

Crossrefs

Cf. A000583 (n^4), A017029 (7*n+4).

Sequence in context: A239443 A240932 A238073 * A136286 A269204 A224283

Adjacent sequences: A017029 A017030 A017031 * A017033 A017034 A017035

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved