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Search: id:A118589
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| A118589 |
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E.g.f.: A(x) = exp(x + x^2 + x^3). |
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+0 3
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| 1, 1, 3, 13, 49, 261, 1531, 9073, 63393, 465769, 3566611, 29998101, 262167313, 2394499693, 23249961099, 233439305401, 2439472944961, 26649502709073, 300078056044963, 3498896317045789, 42244252226263281, 524289088799352661
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OFFSET
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0,3
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COMMENT
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Equals row sums of triangle A118588.
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MATHEMATICA
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Range[0, 21]!*CoefficientList[ Series[ Exp[x*(1-x^3)/(1 - x)], {x, 0, 21}], x] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 23 2007
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PROGRAM
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(PARI) {a(n)=n!*polcoeff(exp(x+x^2+x^3 +x*O(x^n)), n, x)}
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CROSSREFS
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Cf. A118588 (triangle), A119013 (eigenvector).
Sequence in context: A048482 A094978 A045908 this_sequence A113237 A116427 A008827
Adjacent sequences: A118586 A118587 A118588 this_sequence A118590 A118591 A118592
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), May 08 2006
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