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%I A030647 #11 May 04 2013 04:54:32
%S A030647 26,324,2652,16302,81081,342056,1264120,4188834,12664184,35405968,
%T A030647 92512368,227854536,532703874,1189056024,2546364040,5253305915,
%U A030647 10477865970,20265831300,38111646300,69848806950,125012625075
%N A030647 Dimension of multiples of minimal representation of complex Lie algebra F4.
%D A030647 Cf. table 5 of Seminar on Lie Groups and Algebraic Groups of Onishchik and Vinberg [ Springer Verlag 1990 ].
%H A030647 Vincenzo Librandi, <a href="/A030647/b030647.txt">Table of n, a(n) for n = 1..1000</a>
%F A030647 1/1617000*(2*n+11)*binomial(n+10, 3)*binomial(n+3, 3)*binomial(n+7, 4)^2
%F A030647 G.f.: (x+1)*(x^4+9*x^3+19*x^2+9*x+1)/(x-1)^16. - _Vaclav Kotesovec_, Oct 21 2012
%t A030647 Rest[CoefficientList[Series[(x+1)*(x^4+9*x^3+19*x^2+9*x+1)/(x-1)^16,{x,0,20}],x]] (* _Vaclav Kotesovec_, Oct 21 2012 *)
%o A030647 (PARI) x='x+O('x^66); Vec(-1 + (x+1)*(x^4+9*x^3+19*x^2+9*x+1)/(x-1)^16) \\ _Joerg Arndt_, May 04 2013
%K A030647 nonn,easy
%O A030647 1,1
%A A030647 Paolo Dominici (pl.dm(AT)libero.it)

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