A016863 a(n) = (5*n + 1)^3.

1, 216, 1331, 4096, 9261, 17576, 29791, 46656, 68921, 97336, 132651, 175616, 226981, 287496, 357911, 438976, 531441, 636056, 753571, 884736, 1030301, 1191016, 1367631, 1560896, 1771561, 2000376

Offset

0,2

Links

Amiram Eldar, Table of n, a(n) for n = 0..10000

Eric Weisstein's MathWorld, Polygamma Function.

Wikipedia, Polygamma Function.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

Sum_{n>=0} 1/a(n) = -polygamma(2, 1/5)/250. - Amiram Eldar, Oct 02 2020

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - Wesley Ivan Hurt, Oct 02 2020

G.f.: (1+212*x+473*x^2+64*x^3)/(-1+x)^4. - Wesley Ivan Hurt, Oct 02 2020

Example

a(0) = (5*0 + 1)^3 = 1.

Mathematica

Table[(5*n + 1)^3, {n, 0, 25}] (* Amiram Eldar, Oct 02 2020 *)

Crossrefs

Cf. A016861, A016862, A016864.

Sequence in context: A245993 A233980 A233974 * A033698 A121683 A016911

Adjacent sequences: A016860 A016861 A016862 * A016864 A016865 A016866

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved