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1, 1, 4, 26, 239, 2902, 44441, 830636, 18495910, 481474188, 14432543299, 492063896964, 18885525411110, 808850019798316, 38368738864146619, 2002743853356179552, 114374154959904537521, 7110312727864509410026, 479017371580348640009295
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listen;
history;
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internal format)
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = Sum_{k=0..n} Sum_{j=0..k} (-1)^j*binomial(2*k,j)*(k-j)^(2*n) / (k!)^2.
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MAPLE
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A304338 := n -> add(add((-1)^j*binomial(2*k, j)*(k-j)^(2*n), j=0..k)/(k!)^2, k=0..n): seq(A304338(n), n=0..18);
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PROG
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(PARI) a(n) = sum(k=0, n, sum(j=0, k, (-1)^j*binomial(2*k, j)*(k-j)^(2*n)) / (k!)^2); \\ Michel Marcus, May 11 2018
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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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