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%I #25 Sep 08 2022 08:44:42
%S 64,2985984,113379904,1073741824,5489031744,19770609664,56800235584,
%T 139314069504,304006671424,606355001344,1126162419264,1973822685184,
%U 3297303959104,5289852801024,8198418170944
%N a(n) = (10*n + 2)^6.
%H Vincenzo Librandi, <a href="/A017298/b017298.txt">Table of n, a(n) for n = 0..10000</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 a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7); a(0)=64, a(1)=2985984, a(2)=113379904, a(3)=1073741824, a(4)=5489031744, a(5)=19770609664, a(6)=56800235584. - _Harvey P. Dale_, Aug 12 2012
%t (10*Range[0,20]+2)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{64,2985984,113379904,1073741824,5489031744,19770609664,56800235584},20] (* _Harvey P. Dale_, Aug 12 2012 *)
%o (Magma) [(10*n+2)^6: n in [0..25]]; // _Vincenzo Librandi_, Jul 30 2011
%o (Python) for n in range(0, 25): print((10*n + 2)**6, end=", ") # _Stefano Spezia_, Oct 20 2018
%Y Cf. A001014 (n^6), A017293 (10n+2).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_