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A016764 a(n) = (2*n+1)^12. 6
1, 531441, 244140625, 13841287201, 282429536481, 3138428376721, 23298085122481, 129746337890625, 582622237229761, 2213314919066161, 7355827511386641, 21914624432020321, 59604644775390625, 150094635296999121, 353814783205469041, 787662783788549761, 1667889514952984961 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).
FORMULA
Sum_{n>=0} 1/a(n) = 691*Pi^12/638668800. - Amiram Eldar, Oct 11 2020
Product_{n>=1} (1 - 1/a(n)) = Pi*cosh(Pi/2)*cosh(sqrt(3)*Pi/2)*(cos(sqrt(3)*Pi/2) + cosh(Pi/2))/96. - Amiram Eldar, Jan 28 2021
MATHEMATICA
(2*Range[0, 20]+1)^12 (* Harvey P. Dale, Mar 06 2017 *)
PROG
(Magma) [(2*n+1)^12: n in [0..20]]; // Vincenzo Librandi, Sep 07 2011
(PARI) vector(20, n, n--; (2*n+1)^12) \\ G. C. Greubel, Sep 15 2018
CROSSREFS
Cf. A016752.
Sequence in context: A017502 A017634 A203654 * A016776 A016848 A016896
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified July 18 14:29 EDT 2024. Contains 374388 sequences. (Running on oeis4.)