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A057837
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Number of partitions of a set of n elements where the partitions are of size >3.
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4
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1, 0, 0, 0, 1, 1, 1, 1, 36, 127, 337, 793, 7525, 48764, 238954, 997790, 6401435, 49107697, 345482807, 2150694855, 14656830110, 116678887407, 978172378669, 7886661080873, 63905475745765, 553437891603452, 5122279358273976
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,9
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REFERENCES
| E. A. Enneking and J. C. Ahuja, Generalized Bell numbers, Fib. Quart.,14(1976), 67-73.
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FORMULA
| E.g.f.: exp(exp(x)-1-x-x^2/2-x^3/6).
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MAPLE
| G:={P=Set(Set(Atom, card>=4))}:combstruct[gfsolve](G, unlabeled, x):seq(combstruct[count]([P, G, labeled], size=i), i=0..26); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 16 2007
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CROSSREFS
| Cf. A000110, A000296, A006505, A057814.
Sequence in context: A165966 A173420 A016862 * A007265 A155708 A196891
Adjacent sequences: A057834 A057835 A057836 * A057838 A057839 A057840
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KEYWORD
| easy,nice,nonn
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AUTHOR
| Steven C. Fairgrieve (fsteven(AT)math.wvu.edu), Nov 06 2000
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EXTENSIONS
| Corrected and extended by Christian G. Bower (bowerc(AT)usa.net) and James Sellers (sellersj(AT)math.psu.edu), Nov 09 2000
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