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A016956
a(n) = (6*n + 3)^12.
1
531441, 282429536481, 129746337890625, 7355827511386641, 150094635296999121, 1667889514952984961, 12381557655576425121, 68952523554931640625, 309629344375621415601, 1176246293903439668001, 3909188328478827879681, 11646329922777311412561, 31676352024078369140625
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).
FORMULA
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)
MATHEMATICA
(6*Range[0, 20]+3)^12 (* Harvey P. Dale, Jan 23 2013 *)
PROG
(Magma) [(6*n+3)^12: n in [0..20]]; // Vincenzo Librandi, May 06 2011
KEYWORD
nonn,easy
STATUS
approved