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a(n) = (6*n + 2)^6.
7

%I #20 Mar 29 2022 03:01:14

%S 64,262144,7529536,64000000,308915776,1073741824,3010936384,

%T 7256313856,15625000000,30840979456,56800235584,98867482624,

%U 164206490176,262144000000,404567235136,606355001344,885842380864,1265319018496,1771561000000,2436396322816,3297303959104

%N a(n) = (6*n + 2)^6.

%H Vincenzo Librandi, <a href="/A016938/b016938.txt">Table of n, a(n) for n = 0..2000</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 29 2022: (Start)

%F a(n) = A016933(n)^6 = A016934(n)^3 = A016935(n)^2.

%F a(n) = 64*A016782(n).

%F Sum_{n>=0} 1/a(n) = PolyGamma(5, 1/3)/5598720. (End)

%t (6Range[0,20]+2)^6 (* _Harvey P. Dale_, Apr 01 2011 *)

%o (Magma) [(6*n+2)^6: n in [0..30]]; // _Vincenzo Librandi_, May 04 2011

%Y Cf. A016782, A016933, A016934, A016935, A016936, A016937.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_