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A016800
a(n) = (3*n + 2)^12.
1
4096, 244140625, 68719476736, 3138428376721, 56693912375296, 582622237229761, 4096000000000000, 21914624432020321, 95428956661682176, 353814783205469041, 1152921504606846976, 3379220508056640625, 9065737908494995456, 22563490300366186081, 52654090776777588736
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, Apr 01 2022: (Start)
a(n) = A016789(n)^12 = A016790(n)^6 = A016791(n)^4 = A016792(n)^3 = A016794(n)62.
Sum_{n>=0} 1/a(n) = PolyGamma(11, 2/3)/21213424108800. (End)
MATHEMATICA
Table[(3n+2)^12, {n, 0, 100}] (* Mohammad K. Azarian, Jun 15 2016 *)
KEYWORD
nonn,easy
AUTHOR
STATUS
approved