A016954 -id:A016954 - cp's OEIS frontend

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

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

Offset: 0

N. J. A. Sloane

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).

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

Subsequence of A008455.

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

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

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)

A016956 a(n) = (6*n + 3)^12.

Original entry on oeis.org

531441, 282429536481, 129746337890625, 7355827511386641, 150094635296999121, 1667889514952984961, 12381557655576425121, 68952523554931640625, 309629344375621415601, 1176246293903439668001, 3909188328478827879681, 11646329922777311412561, 31676352024078369140625

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..2000
Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Cf. A016764, A016945, A016946, A016947, A016948, A016949, A016950, A016951, A016952, A016953, A016954, A016955.

Subsequence of A008456.

[(6*n+3)^12: n in [0..20]]; // Vincenzo Librandi, May 06 2011

(6*Range[0,20]+3)^12 (* Harvey P. Dale, Jan 23 2013 *)

From Amiram Eldar, Mar 31 2022: (Start)
a(n) = A016945(n)^12 = A016946(n)^6 = A016947(n)^4 = A016948(n)^3 = A016950(n)^2..
a(n) = 3^12*A016764(n).
Sum_{n>=0} 1/a(n) = 691*Pi^12/339414785740800. (End)

cp's OEIS Frontend

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

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