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A160617
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Numerator of Laguerre(n, -1).
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3
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1, 2, 7, 17, 209, 773, 13327, 65461, 1441729, 1255151, 234662231, 1702678841, 53334454417, 448162154317, 16083557845279, 13946689584823, 126523856174033, 66120494322107921, 269906478537389909, 34987413853951524577
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = numerator(s(n)), where s(0)=1/2, s(n) = 1/(n+2)*(n +1 + Sum_{i=0..n-2} s(n-i-2)*(i+1)). - Vladimir Kruchinin, Sep 30 2016
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MATHEMATICA
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Numerator[Table[LaguerreL[n, -1], {n, 0, 50}]] (* G. C. Greubel, May 06 2018 *)
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PROG
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(PARI) lista(nn) = {x = 'x + O('x^nn); v = exp(x/(1-x))/(1-x); for (n=0, nn-1, print1(numerator(polcoeff(v, n)), ", "); ); } \\ Michel Marcus, Nov 27 2015
(PARI) for(n=0, 30, print1(numerator(sum(k=0, n, binomial(n, k)*(1/k!))), ", ")) \\ G. C. Greubel, May 06 2018
(Maxima) s(n):=if n=0 then 1/2 else 1/(n+2)*(n +1 +sum(s(n-i-2)*(i+1), i, 0, n-2));
(Magma) [Numerator((&+[Binomial(n, k)*(1/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 06 2018
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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