A016828 a(n) = (4*n+2)^4.

16, 1296, 10000, 38416, 104976, 234256, 456976, 810000, 1336336, 2085136, 3111696, 4477456, 6250000, 8503056, 11316496, 14776336, 18974736, 24010000, 29986576, 37015056, 45212176, 54700816, 65610000, 78074896, 92236816

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

a(n) = 16*A016756(n). O.g.f.: -16*(1+76*x+230*x^2+76*x^3+x^4)/(-1+x)^5. - R. J. Mathar, Mar 31 2008

From Ilya Gutkovskiy, Jun 21 2016: (Start)

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

Sum_{n>=0} 1/a(n) = Pi^4/1536. (End)

Mathematica

Table[(4n+2)^4, {n, 0, 100}] (* Mohammad K. Azarian, Jun 21 2016 *)

Prog

(Magma) [(4*n+2)^4: n in [0..40]]; // Vincenzo Librandi, Sep 07 2011

Crossrefs

Sequence in context: A027648 A224105 A224098 * A072161 A173544 A248619

Adjacent sequences: A016825 A016826 A016827 * A016829 A016830 A016831

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from R. J. Mathar, Mar 31 2008

Status

approved