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%I #16 Feb 02 2019 18:35:46
%S 1,46,769,5632,18688,44032,85760,147968,234752,350208,498432,683520,
%T 909568,1180672,1500928,1874432,2305280,2797568,3355392,3982848,
%U 4684032,5463040,6323968,7270912,8307968,9439232,10668800,12000768,13439232,14988288,16652032
%N G.f.: (1+14*x+x^2)^3/((1-x))^4.
%C Coefficient expansion of the elliptical invariant for the cube.
%D Gareth Jones and David Singerman, Bull. London Math. Soc. 28, (1996) pages 561-590 (S_4 group invariant on page 585)
%D H. McKean and V. Moll. Elliptic Curves, Camb. Univ. Press, p. 22.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F a(n) = 256*(n-1)*(8*n^2 - 16*n + 9)/3 for n >= 3. - _Emeric Deutsch_, Apr 02 2006
%p a:=proc(n) if n=0 then 1 elif n=1 then 46 elif n=2 then 769 else 256*(n-1)*(8*n^2-16*n+9)/3 fi end: seq(a(n),n=0..30); # _Emeric Deutsch_, Apr 02 2006
%K nonn,easy
%O 0,2
%A _Roger L. Bagula_, Jan 29 2006
%E Corrected, edited and extended by _N. J. A. Sloane_, Mar 31 2006, Aug 13 2008
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