%I A139798
%S A139798 8,38,111,256,511,924,1554,2472,3762,5522,7865,10920,14833,19768,25908,
%T A139798 33456,42636,53694,66899,82544,100947,122452,147430,176280,209430,
%U A139798 247338,290493,339416,394661,456816,526504,604384,691152,787542
%N A139798 Coefficient of x^5 in (1-x-x^2)^(-n).
%C A139798 The coefficient of x^5 in (1-x-x^2)^(-n) is the coefficient of x^5 in 
               (1+x+2x^2+3x^3+5x^4+8x^5)^n. Using the multinomial theorem one then 
               finds that a(n) = n(n+1)(n+2)(n^2+27n+132)/5!
%C A139798 The inverse binomial transform yields 8,30,43,29,9,1,0,0,... (0 continued) 
               - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 23 2008
%D A139798 S. Plouffe, Approximations de Series Generatrices et Quelques conjectures, 
               Dissertation, Universite du Quebec a Montreal, 1992
%F A139798 a(n) = n(n+1)(n+2)(n^2+27n+132)/5!
%F A139798 O.g.f.: x(3x-4)(x-2)/(1-x)^6. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               May 23 2008
%t A139798 Clear["Global`*"] a[n_] := n(n + 1)(n + 2)(n^2 + 27n + 132)/5! Do[Print[n, 
               " ", a[n]], {n, 1, 25}]
%Y A139798 Cf. A000027, A000096, A006503, A006504.
%Y A139798 Sequence in context: A111645 A128246 A163832 this_sequence A065762 A034009 
               A038732
%Y A139798 Adjacent sequences: A139795 A139796 A139797 this_sequence A139799 A139800 
               A139801
%K A139798 nonn
%O A139798 1,1
%A A139798 Sergio Falcon (sfalcon(AT)dma.ulpgc.es), May 22 2008
%E A139798 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 23 2008