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%I #15 Apr 21 2023 05:47:02
%S 512,10077696,1000000000,20661046784,198359290368,1207269217792,
%T 5429503678976,19683000000000,60716992766464,165216101262848,
%U 406671383849472,922190162669056,1953125000000000,3904305912313344,7427658739644928,13537086546263552,23762680013799936
%N a(n) = (4n+2)^9.
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
%F From _Amiram Eldar_, Apr 21 2023: (Start)
%F a(n) = A016825(n)^9.
%F a(n) = 2^9*A016761(n).
%F Sum_{n>=0} 1/a(n) = 511*zeta(9)/262144.
%F Sum_{n>=0} (-1)^n/a(n) = 277*Pi^9/4227858432. (End)
%t (4*Range[0,20]+2)^9 (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{512,10077696,1000000000,20661046784,198359290368,1207269217792,5429503678976,19683000000000,60716992766464,165216101262848},20] (* _Harvey P. Dale_, May 26 2018 *)
%Y Cf. A013667, A016761, A016825.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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