A017207 a(n) = (9*n + 3)^11.

177147, 743008370688, 350277500542221, 17714700000000000, 317475837322472439, 3116402981210161152, 20635899893042801193, 103510234140112521216, 422351360321044921875, 1469170321634239709184, 4501035456767426597157, 12433743083946522728448, 31517572945366073781711

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Crossrefs

Cf. A013669, A016787, A017197.

Programs

Magma

[(9*n+3)^11: n in [0..15]]; // Vincenzo Librandi, Jul 23 2011

Mathematica

Table[(9*n + 3)^11, {n, 0, 15}] (* Amiram Eldar, Oct 03 2024 *)

Formula

From Amiram Eldar, Oct 03 2024: (Start)

a(n) = A017197(n)^11 = 3^11 * A016787(n).

Sum_{n>=0} 1/a(n) = 7388*Pi^11/(444826519957575*sqrt(3)) + 88573*zeta(11)/31381059609. (End)