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Exponential transform of unsigned Lah-triangle |A008297(n,k)|.
1

%I #6 May 10 2013 12:45:08

%S 1,2,2,6,12,5,24,72,60,15,120,480,600,300,52,720,3600,6000,4500,1560,

%T 203,5040,30240,63000,63000,32760,8526,877,40320,282240,705600,882000,

%U 611520,238728,49112,4140,362880,2903040,8467200,12700800,11007360

%N Exponential transform of unsigned Lah-triangle |A008297(n,k)|.

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%F E.g.f.: exp(exp(x*y/(1-x))-1). a(n, k) = n!/k! * binomial(n-1, k-1) * bell(k) = |A008297(n, k)| * A000110(k).

%e 1; 2,2; 6,12,5; 24,72,60,15; 120,480,600,300,52; ...

%Y Cf. A055924, A055896, A056860.

%K nonn,tabl

%O 1,2

%A _Vladeta Jovovic_, Feb 01 2003