A016955 a(n) = (6*n + 3)^11.

177147, 31381059609, 8649755859375, 350277500542221, 5559060566555523, 50542106513726817, 317475837322472439, 1532278301220703125, 6071163615208263051, 20635899893042801193, 62050608388552823487, 168787390185178426269, 422351360321044921875, 984770902183611232881

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..2000
• Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Crossrefs

Cf. A016763, A016945, A016946, A016947, A016948, A016949, A016950, A016951, A016952, A016953, A016954.

Subsequence of A008455.

Programs

Magma

[(6*n+3)^11: n in [0..20]]; // Vincenzo Librandi, May 06 2011

Mathematica

a[n_] := (6*n + 3)^11; Array[a, 50, 0] (* Amiram Eldar, Mar 30 2022 *)

Formula

From Amiram Eldar, Mar 30 2022: (Start)

a(n) = A016945(n)^11.

a(n) = 3^11*A016763(n).

Sum_{n>=0} 1/a(n) = 2047*zeta(11)/362797056.

Sum_{n>=0} (-1)^n/a(n) = 50521*Pi^11/2633035913625600. (End)