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%I #13 Mar 09 2019 13:41:53
%S 0,0,24,3588,336336,28456296,2337415080,190203890604,15430065218592,
%T 1250470878111312,101305299883043256,8206192556032342740,
%U 664714105019032509168,53842180220318324555448,4361225716102504132538952,353259529197097010875926396,28614028512169065293302438464
%N a(n) = (3^n-1)*(3^n-3)*(3^n+3)*(3^n-4)/5!.
%D Turner, Zachary J., Bryson W. Finklea, and Terri Moore. "Combinatorial Approaches to Minimal Zero Sequences of Finite Abelian Groups, and a Surprising Connection." Preprint, Jan 09 2004.
%H Colin Barker, <a href="/A275637/b275637.txt">Table of n, a(n) for n = 0..500</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (121,-3630,32670,-88209,59049).
%F From _Chai Wah Wu_, Aug 09 2016: (Start)
%F a(n) = 121*a(n-1) - 3630*a(n-2) + 32670*a(n-3) - 88209*a(n-4) + 59049*a(n-5) for n > 4.
%F G.f.: x^2*(10692*x^2 - 684*x - 24)/((x - 1)*(3*x - 1)*(9*x - 1)*(27*x - 1)*(81*x - 1)). (End)
%F a(n) = (-36+5*3^(2+n)-5*9^n-5*27^n+81^n)/120. - _Colin Barker_, Aug 10 2016
%t Table[With[{c=3^n},((c-1)(c-3)(c+3)(c-4))/120],{n,0,20}] (* or *) LinearRecurrence[ {121,-3630,32670,-88209,59049},{0,0,24,3588,336336},20] (* _Harvey P. Dale_, Mar 09 2019 *)
%K nonn,easy
%O 0,3
%A _N. J. A. Sloane_, Aug 09 2016
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