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A046165 Number of minimal covers of n objects. 6
1, 2, 8, 49, 462, 6424, 129425, 3731508, 152424420, 8780782707, 710389021036, 80610570275140, 12815915627480695, 2855758994821922882, 892194474524889501292, 391202163933291014701953, 240943718535427829240708786, 208683398342300491409959279244 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

Eric Weisstein's World of Mathematics, Minimal Cover

FORMULA

E.g.f.: Sum((exp(x)-1)^n*exp(x*(2^n-n-1))/n!, n=0..infinity). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 08 2004

MAPLE

a:= n-> add (add ((-1)^i* binomial(k, i) *(2^k-1-i)^n, i=0..k)/k!, k=0..n): seq (a(n), n=1..20); # Alois P. Heinz, Aug 19 2008

CROSSREFS

Cf. A035348, A000371, A003465.

Sequence in context: A088181 A058864 A136226 * A114619 A027047 A034491

Adjacent sequences:  A046162 A046163 A046164 * A046166 A046167 A046168

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.