A016797 a(n) = (3*n + 2)^9.

512, 1953125, 134217728, 2357947691, 20661046784, 118587876497, 512000000000, 1801152661463, 5429503678976, 14507145975869, 35184372088832, 78815638671875, 165216101262848, 327381934393961, 618121839509504, 1119130473102767, 1953125000000000, 3299763591802133

Offset

0,1

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Formula

G.f.: (512 + 1948005*x + 114709518*x^2 + 1103599596*x^3 + 2887100154*x^4 + 2388954618*x^5 + 608260290*x^6 + 37732212*x^7 + 262134*x^8 + x^9)/(1 - x)^10. - Ilya Gutkovskiy, Jun 16 2016

From Amiram Eldar, Mar 31 2022: (Start)

a(n) = A016789(n)^9.

Sum_{n>=0} 1/a(n) = 9841*zeta(9)/19683 - 1618*Pi^9/(55801305*sqrt(3)). (End)

Mathematica

Table[(3n+2)^9, {n, 0, 100}] (* Mohammad K. Azarian, Jun 15 2016 *)

Crossrefs

Cf. A016789, A016790, A016791, A016792, A016793, A016794, A016795, A016796.

Subsequence of A001017.

Sequence in context: A347858 A220303 A323542 * A013789 A330484 A283935

Adjacent sequences: A016794 A016795 A016796 * A016798 A016799 A016800

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved