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A360814
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Expansion of Sum_{k>=0} x^(2*k) / (1 - k*x)^(k+1).
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1
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1, 0, 1, 2, 4, 10, 30, 98, 338, 1240, 4877, 20496, 91213, 426678, 2090081, 10702438, 57193760, 318283388, 1840036058, 11026424446, 68370955450, 438039068726, 2896018310881, 19733372875632, 138418266287689, 998363508783924, 7396739279819185, 56239695790595786
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = Sum_{k=0..floor(n/2)} k^(n-2*k) * binomial(n-k,k).
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PROG
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(PARI) my(N=30, x='x+O('x^N)); Vec(sum(k=0, N, x^(2*k)/(1-k*x)^(k+1)))
(PARI) a(n) = sum(k=0, n\2, k^(n-2*k)*binomial(n-k, k));
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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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