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%I #17 Mar 31 2022 10:17:09
%S 16384,10000000,268435456,2494357888,13492928512,52523350144,
%T 163840000000,435817657216,1028071702528,2207984167552,4398046511104,
%U 8235430000000,14645194571776,24928547056768,40867559636992,64847759419264,100000000000000,150363025899136,221068140740608
%N a(n) = (6*n + 4)^7.
%H Vincenzo Librandi, <a href="/A016963/b016963.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F From _Amiram Eldar_, Mar 31 2022: (Start)
%F a(n) = A016957(n)^7.
%F a(n) = 2^7*A016795(n).
%F Sum_{n>=0} 1/a(n) = 1093*zeta(7)/279936 - 7*Pi^7/(3149280*sqrt(3)). (End)
%t (6*Range[0,20]+4)^7 (* or *) LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{16384,10000000,268435456,2494357888,13492928512,52523350144,163840000000,435817657216},20] (* _Harvey P. Dale_, Mar 03 2018 *)
%o (Magma) [(6*n+4)^7: n in [0..20]]; // _Vincenzo Librandi_, May 07 2011
%Y Cf. A016795, A016957, A016958, A016959, A016960, A016961, A016962.
%Y Subsequence of A001015.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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