A016793 a(n) = (3*n + 2)^5.

32, 3125, 32768, 161051, 537824, 1419857, 3200000, 6436343, 11881376, 20511149, 33554432, 52521875, 79235168, 115856201, 164916224, 229345007, 312500000, 418195493, 550731776, 714924299, 916132832, 1160290625, 1453933568, 1804229351, 2219006624, 2706784157, 3276800000

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

From Ilya Gutkovskiy, Jun 16 2016: (Start)

G.f.: (32 + 2933*x + 14498*x^2 + 10678*x^3 + 1018*x^4 + x^5)/(1 - x)^6.

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6). (End)

From Amiram Eldar, Mar 31 2022: (Start)

a(n) = A016789(n)^5.

Sum_{n>=0} 1/a(n) = 121*zeta(5)/243 - 2*Pi^5/(729*sqrt(3)). (End)

Mathematica

Table[(3n+2)^5, {n, 0, 100}] (* Mohammad K. Azarian, Jun 15 2016 *)

Prog

(Magma) [(3*n+2)^5 : n in [0..30]]; // Vincenzo Librandi, Sep 29 2011

Crossrefs

Cf. A016789, A016790, A016791, A016792.

Subsequence of A000584.

Sequence in context: A104652 A219228 A135787 * A215045 A219343 A123802

Adjacent sequences: A016790 A016791 A016792 * A016794 A016795 A016796

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved