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Search: id:A113774
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| A113774 |
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Number of partitions of {1,...,n} into block sizes not a multiple of 3. |
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+0
1
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| 1, 1, 2, 4, 11, 32, 112, 415, 1732, 7678, 37115, 190016, 1039546, 5996083, 36528196, 233492044, 1564012751, 10940385668, 79762304116, 604791685063, 4760047233424, 38825234812882, 327641201731475, 2856835856307428
(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(B(x)), where B(x) is e.g.f. of A011655.
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MAPLE
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nmax := 30: B := add(op(1+(i mod 3), [0, 1, 1])*x^i/i!, i=0..nmax) : 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. A003724, A115276, A000246, A102736, A088009, A001590.
Sequence in context: A059305 A120848 A135339 this_sequence A124504 A056324 A056325
Adjacent sequences: A113771 A113772 A113773 this_sequence A113775 A113776 A113777
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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.yu), Jan 19 2006
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 06 2008
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