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A159519
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Numerator of Hermite(n, 13/15).
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1
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1, 26, 226, -17524, -760724, 11764376, 2017502776, 20691256976, -5817161063024, -225734712752224, 17690399773689376, 1475756601500931776, -49197807240738185024, -9248228636364224401024, 47353227812848547963776, 59495024332228675973509376
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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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D-finite with recurrence a(n) -26*a(n-1) + 450*(n-1)*a(n-2) = 0. [DLMF] - R. J. Mathar, Feb 16 2014
a(n) = 15^n * Hermite(n,13/15).
E.g.f.: exp(26*x-225*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(26/15)^(n-2*k)/(k!*(n-2*k)!)). (End)
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EXAMPLE
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Numerator of 1, 26/15, 226/225, -17524/3375, -760724/50625, 11764376/759375, ...
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MAPLE
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orthopoly[H](n, 13/15) ;
numer(%) ;
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(26/15)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 11 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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