A016900 a(n) = (5*n + 4)^4.

256, 6561, 38416, 130321, 331776, 707281, 1336336, 2313441, 3748096, 5764801, 8503056, 12117361, 16777216, 22667121, 29986576, 38950081, 49787136, 62742241, 78074896, 96059601, 116985856, 141158161

Offset

0,1

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).

Formula

From R. J. Mathar, Mar 01 2010: (Start)

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).

G.f.: (256 + 5281*x + 8171*x^2 + 1291*x^3 + x^4)/(1 - x)^5. (End)

a(n) = A016897(n)^4 = A000583(A016897(n)). - Wesley Ivan Hurt, Feb 15 2014

Maple

A016900:=n->(5*n + 4)^4; seq(A016900(n), n=0..50); # Wesley Ivan Hurt, Feb 15 2014

Mathematica

Table[(5 n + 4)^4, {n, 0, 50}] (* Wesley Ivan Hurt, Feb 15 2014 *)

Prog

(Magma) [(5*n+4)^4: n in [0..50]]; // Vincenzo Librandi, May 02 2011
(PARI) a(n)=(5*n+4)^4 \\ Charles R Greathouse IV, Feb 18 2014

Crossrefs

Cf. A000583, A016897.

Sequence in context: A203284 A321832 A351196 * A017680 A210840 A001016

Adjacent sequences: A016897 A016898 A016899 * A016901 A016902 A016903

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved