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%I #17 Mar 31 2022 09:23:47
%S 4096,1000000,16777216,113379904,481890304,1544804416,4096000000,
%T 9474296896,19770609664,38068692544,68719476736,117649000000,
%U 192699928576,304006671424,464404086784,689869781056,1000000000000,1418519112256,1973822685184,2699554153024,3635215077376
%N a(n) = (6*n + 4)^6.
%H Vincenzo Librandi, <a href="/A016962/b016962.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F From _Amiram Eldar_, Mar 31 2022: (Start)
%F a(n) = A016957(n)^6 = A016958(n)^3 = A016959(n)^2.
%F a(n) = 64*A016794(n).
%F Sum_{n>=0} 1/a(n) = PolyGamma(5, 2/3)/5598720. (End)
%t (6Range[0,20]+4)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{4096,1000000,16777216,113379904,481890304,1544804416,4096000000},20] (* _Harvey P. Dale_, Aug 08 2019 *)
%o (Magma) [(6*n+4)^6: n in [0..25]]: // _Vincenzo Librandi_, May 06 2011
%Y Cf. A016794, A016957, A016958, A016959, A016960, A016961.
%Y Subsequence of A001014.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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