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A214400
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a(n) = binomial(n^2 + 3*n, n).
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2
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1, 4, 45, 816, 20475, 658008, 25827165, 1198774720, 64276915527, 3911395881900, 266401260897200, 20082459351180240, 1660305826125766950, 149389005978091284720, 14533945899753270066525, 1520398315196482557890304, 170190601112537814791748255
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OFFSET
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0,2
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COMMENTS
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Equals the central terms of triangle A214398.
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LINKS
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FORMULA
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a(n) ~ n^(n-1/2)*exp(n+5/2)/sqrt(2*Pi). - Robert Israel, Mar 04 2022
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MAPLE
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PROG
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(PARI) a(n)=binomial(n^2+3*n, n)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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