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%I #19 Apr 21 2023 05:46:27
%S 1,78125,4782969,62748517,410338673,1801088541,6103515625,17249876309,
%T 42618442977,94931877133,194754273881,373669453125,678223072849,
%U 1174711139837,1954897493193,3142742836021,4902227890625,7446353252589,11047398519097,16048523266853,22876792454961
%N a(n) = (4n+1)^7.
%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_, Apr 21 2023: (Start)
%F a(n) = A016813(n)^7.
%F Sum_{n>=0} 1/a(n) = 61*Pi^7/368640 + 127*zeta(7)/256. (End)
%t Table[(4n+1)^7,{n,0,100}] (* _Mohammad K. Azarian_, Jun 20 2016 *)
%t LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{1,78125,4782969,62748517,410338673,1801088541,6103515625,17249876309},20] (* _Harvey P. Dale_, May 25 2022 *)
%Y Cf. A013665, A016813.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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