%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_