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A057837 Number of partitions of a set of n elements where the partitions are of size >3. +0
4
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; listen)
OFFSET

0,9

REFERENCES

E. A. Enneking and J. C. Ahuja, Generalized Bell numbers, Fib. Quart.,14(1976), 67-73.

FORMULA

E.g.f.: exp(exp(x)-1-x-x^2/2-x^3/6).

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

CROSSREFS

Cf. A000110, A000296, A006505, A057814.

Adjacent sequences: A057834 A057835 A057836 this_sequence A057838 A057839 A057840

Sequence in context: A044668 A129367 A016862 this_sequence A007265 A105090 A076578

KEYWORD

easy,nice,nonn

AUTHOR

Steven C. Fairgrieve (fsteven(AT)math.wvu.edu), Nov 06 2000

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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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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