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Search: id:A113775
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| A113775 |
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Number of sets of lists (cf. A000262) whose list sizes are not a multiple of 3. |
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+0
1
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| 1, 1, 3, 7, 49, 321, 2131, 19783, 195777, 2101249, 25721731, 340358151, 4902173233, 75688032577, 1253701725459, 22347046050631, 418439924732161, 8318748086461953, 175769214730290307, 3871849719998940679
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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E.g.f.: exp(x*(1+x)/(1-x^3)).
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MAPLE
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nmax := 30: B := x*(1+x)/(1-x^3) : egf := 0 : for i from 0 to nmax do egf := convert(egf+taylor(B^i, x=0, nmax+1)/i!, polynom) : od: for i from 0 to nmax do printf("%d ", i!*coeftayl(egf, x=0, i)) ; od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 06 2008
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CROSSREFS
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Cf. A000726, A003724, A115276, A000246, A102736, A088009, A001590.
Sequence in context: A077559 A062959 A118393 this_sequence A113236 A035499 A120788
Adjacent sequences: A113772 A113773 A113774 this_sequence A113776 A113777 A113778
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 19 2006
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EXTENSIONS
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2 more terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 06 2008
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