A016952 a(n) = (6*n + 3)^8.

6561, 43046721, 2562890625, 37822859361, 282429536481, 1406408618241, 5352009260481, 16815125390625, 45767944570401, 111429157112001, 248155780267521, 513798374428641, 1001129150390625, 1853020188851841, 3282116715437121, 5595818096650401, 9227446944279201

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 (9,-36,84,-126,126,-84,36,-9,1).

Crossrefs

Cf. A016760, A016945, A016946, A016947, A016948, A016949, A016950, A016951.

Subsequence of A001016.

Programs

Magma

[(6*n+3)^8: n in [0..40]]; // Vincenzo Librandi, May 05 2011

Mathematica

a[n_] := (6*n + 3)^8; Array[a, 50, 0] (* Amiram Eldar, Mar 30 2022 *)

Formula

From Amiram Eldar, Mar 30 2022: (Start)

a(n) = A016945(n)^8 = A016946(n)^4 = A016948(n)^2.

a(n) = 3^8*A016760(n).

Sum_{n>=0} 1/a(n) = 17*Pi^8/1058158080. (End)