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A159762
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Numerator of Hermite(n, 13/21).
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1
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1, 26, -206, -51220, -786644, 160251416, 7635636856, -649523935216, -64030044264560, 2918259736005536, 584145244508221216, -10551274514355075904, -5941710299591994211136, -42809778329457726121600, 67014596058555904745723776, 2270994640334597525538334976
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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) = 21^n * Hermite(n,13/21).
E.g.f.: exp(26*x-441*x^2).
a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(26/21)^(n-2k)/(k!*(n-2k)!).
a(n+2) = 26*a(n+1) - 882*(n+1)*a(n). (End)
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(26/21)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, May 21 2018
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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