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A087660
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Values of a certain hypergeometric function. Not known to be always integer-valued.
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1
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4, 25, 228, 2620, 35164, 527663, 8613004, 150142594, 2759219428, 52953913663, 1053779339980, 21624992868276, 455655808661008, 9823903635742978, 216106936268122100, 4839230922051864504, 110093028451517403276, 2540412583358390378215, 59374626887737992823372
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = 4*hypergeom([ -n, n/2+5/2, n/2+3], [4, 2], -4).
Recurrence: (n+3)^2*(n+4)*(3*n - 2)*(3*n + 1)*a(n) = 10*(n+1)*(n+3)*(3*n - 2)*(3*n + 2)^2*a(n-1) - (n-1)*(n+1)*(3*n + 4)*(9*n^2 - 15*n + 14)*a(n-2) + (n-4)*(n-2)*(n-1)*(3*n + 1)*(3*n + 4)*a(n-3). - Vaclav Kotesovec, Jul 05 2018
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MATHEMATICA
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a[n_] := 4*HypergeometricPFQ[{-n, (n + 5)/2, n/2 + 3}, {4, 2}, -4];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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