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0, 0, 1, -2, 7, -14, 38, -76, 187, -374, 874, -1748, 3958, -7916, 17548, -35096, 76627, -153254, 330818, -661636, 1415650, -2831300, 6015316, -12030632, 25413342, -50826684, 106853668, -213707336, 447472972, -894945944, 1867450648, -3734901296, 7770342787
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OFFSET
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0,4
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COMMENTS
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The binomial transform of a(n) are the complementary Riordan numbers A194589 (see link).
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LINKS
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FORMULA
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a(n) = Sum_{k=0..n} (-1)^(n-k)*binomial(n,k)*cr(k), where cr(k) are the complementary Riordan numbers A194589.
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MAPLE
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A152271 := n -> `if`(n mod 2 = 0, 1, (n+1)/2):
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MATHEMATICA
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sf[n_] := n!/Quotient[n, 2]!^2;
a[n_] := (-1)^n (sf[n + 1] * If[EvenQ[n], 1, (n + 1)/2] - 2^n)/2;
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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