A016794 a(n) = (3*n + 2)^6.

64, 15625, 262144, 1771561, 7529536, 24137569, 64000000, 148035889, 308915776, 594823321, 1073741824, 1838265625, 3010936384, 4750104241, 7256313856, 10779215329, 15625000000, 22164361129, 30840979456, 42180533641, 56800235584, 75418890625, 98867482624, 128100283921

Offset

0,1

Links

Table of n, a(n) for n=0..23.

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

From Amiram Eldar, Mar 31 2022: (Start)

a(n) = A016789(n)^6 = A016790(n)^3 = A016791(n)^2.

Sum_{n>=0} 1/a(n) = PolyGamma(5, 2/3)/87480. (End)

From Stefano Spezia, Jun 06 2026: (Start)

G.f.: (64 + 15177*x + 154113*x^2 + 262438*x^3 + 88998*x^4 + 4089*x^5 + x^6)/(1 - x)^7.

E.g.f.: exp(x)*(64 + 15561*x + 115479*x^2 + 171990*x^3 + 81405*x^4 + 13851*x^5 + 729*x^6). (End)

Maple

A016794:= n-> (3*n+2)^6; seq(A016794(k), k=0..30); # Wesley Ivan Hurt, Nov 05 2013

Mathematica

(3Range[0, 20]+2)^6  (* Harvey P. Dale, Mar 04 2011 *)

Crossrefs

Cf. A016789, A016790, A016791, A016792, A016793.

Subsequence of A001014.

Sequence in context: A185562 A264127 A135788 * A264058 A123051 A064068

Adjacent sequences: A016791 A016792 A016793 * A016795 A016796 A016797

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved