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%I #13 Dec 03 2015 05:59:07
%S 1,125,729,2197,4913,9261,15625,24389,35937,50653,68921,91125,117649,
%T 148877,185193,226981,274625,328509,389017,456533,531441,614125,
%U 704969,804357,912673,1030301,1157625
%N (4n+1)^3.
%D S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 1.6.3.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1).
%F Sum_{n>=0} 1/a(n) = Pi^3/64 + 7 zeta(3)/16.
%F a(0)=1, a(1)=125, a(2)=729, a(3)=2197, a(n)=4*a(n-1)-6*a(n-2)+ 4*a(n-3)- a(n-4). - _Harvey P. Dale_, Sep 01 2013
%F G.f.: ( 1+121*x+235*x^2+27*x^3 ) / (x-1)^4 . - _R. J. Mathar_, Dec 03 2015
%t (4*Range[0,30]+1)^3 (* or *) LinearRecurrence[{4,-6,4,-1},{1,125,729,2197},30] (* _Harvey P. Dale_, Sep 01 2013 *)
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.
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