login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A057814 Number of partitions of an n-set into blocks of size > 4. 8
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; refs; listen; history; text; internal format)
OFFSET

0,11

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..589 (terms 0..300 from Alois P. Heinz)

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-x^4/24).

MAPLE

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, Dec 16 2007

MATHEMATICA

max = 27; CoefficientList[ Series[ Exp[ Exp[x] - Normal[ Series[ Exp[x], {x, 0, 4}]]], {x, 0, max}], x]*Range[0, max]!(* Jean-Fran├žois Alcover, Apr 25 2012, from e.g.f. *)

CROSSREFS

Column k=4 of A293024.

Cf. A000110, A000296, A006505, A057837.

Cf. A293040.

Sequence in context: A299363 A250892 A129537 * A038646 A245867 A096523

Adjacent sequences:  A057811 A057812 A057813 * A057815 A057816 A057817

KEYWORD

easy,nice,nonn

AUTHOR

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

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 16 14:35 EDT 2018. Contains 316263 sequences. (Running on oeis4.)