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A327494
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a(n) = numerator(r(n)) where r(n) = Sum_{j=0..n} j!/(2^j*floor(j/2)!)^2.
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6
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1, 5, 11, 47, 191, 779, 1563, 6287, 50331, 201639, 403341, 1614057, 6456459, 25828839, 51658107, 206638863, 3306228243, 13225022367, 26450056889, 105800458501, 423201880193, 1692808490741, 3385617069661, 13542470306761, 108339763130127, 433359069421483
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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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Lim_{n -> oo} r(n) = (4/3)^(3/2) = A118273.
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EXAMPLE
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r(n) = 1, 5/4, 11/8, 47/32, 191/128, 779/512, 1563/1024, 6287/4096, 50331/32768, 201639/131072, ...
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MAPLE
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A327494 := n -> numer(add(j!/(2^j*iquo(j, 2)!)^2, j=0..n)):
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PROG
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(PARI) a(n)={ numerator(sum(j=0, n, j!/(2^j*(j\2)!)^2)) } \\ Andrew Howroyd, Sep 28 2019
(Julia)
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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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