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%I #22 Mar 30 2022 06:34:27
%S 729,531441,11390625,85766121,387420489,1291467969,3518743761,
%T 8303765625,17596287801,34296447249,62523502209,107918163081,
%U 177978515625,282429536481,433626201009,646990183449,941480149401,1340095640625,1870414552161,2565164201769,3462825991689
%N a(n) = (6*n + 3)^6.
%H Vincenzo Librandi, <a href="/A016950/b016950.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 30 2022: (Start)
%F a(n) = A016945(n)^6 = A016946(n)^3 = A016947(n)^2.
%F a(n) = 3^6*A016758(n).
%F Sum_{n>=0} 1/a(n) = Pi^6/699840. (End)
%t (3 + 6Range[0, 20])^6 (* _Harvey P. Dale_, Jan 31 2011 *)
%o (Magma) [(6*n+3)^6: n in [0..40]]; // _Vincenzo Librandi_, May 05 2011
%Y Cf. A016758, A016945, A016946, A016947, A016948, A016949.
%Y Subsequence of A001014.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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