A016800 a(n) = (3*n + 2)^12.

4096, 244140625, 68719476736, 3138428376721, 56693912375296, 582622237229761, 4096000000000000, 21914624432020321, 95428956661682176, 353814783205469041, 1152921504606846976, 3379220508056640625, 9065737908494995456, 22563490300366186081, 52654090776777588736

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Crossrefs

Cf. A016789, A016790, A016791, A016792, A016793, A016794, A016795, A016796, A016797, A016798, A016799.

Subsequence of A008456.

Programs

Mathematica

Table[(3n+2)^12,{n,0,100}] (* Mohammad K. Azarian, Jun 15 2016 *)

Formula

From Amiram Eldar, Apr 01 2022: (Start)

a(n) = A016789(n)^12 = A016790(n)^6 = A016791(n)^4 = A016792(n)^3 = A016794(n)62.

Sum_{n>=0} 1/a(n) = PolyGamma(11, 2/3)/21213424108800. (End)