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Search: id:A057814
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| A057814 |
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Number of partitions of an n-set into blocks of size >4. |
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+0
4
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| 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 127, 463, 1255, 3004, 6722, 140570, 1039260, 5371627, 23202077, 90048525, 814737785, 7967774337, 62895570839, 417560407223, 2455461090505, 18440499041402, 179627278800426, 1770970802250146
(list; graph; listen)
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OFFSET
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0,11
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REFERENCES
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E. A. Enneking and J. C. Ahuja, Generalized Bell numbers, Fib. Quart., 14 (1976), 67-73.
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FORMULA
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E.g.f.: exp(exp(x)-1-x-x^2/2-x^3/6-x^4/24)
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MAPLE
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G:={P=Set(Set(Atom, card>=5))}:combstruct[gfsolve](G, labeled, x):seq(combstruct[count]([P, G, labeled], size=i), i=0..27); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 16 2007
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CROSSREFS
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Cf. A000110, A000296, A006505, A057837.
Sequence in context: A082251 A142384 A129537 this_sequence A038646 A096523 A142736
Adjacent sequences: A057811 A057812 A057813 this_sequence A057815 A057816 A057817
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KEYWORD
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easy,nice,nonn
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AUTHOR
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Steven C. Fairgrieve (fsteven(AT)math.wvu.edu), Nov 06 2000
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