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%I #12 Jan 21 2020 10:06:47
%S 1,1,1,2,4,2,5,15,15,5,15,60,90,60,15,52,260,520,520,260,52,203,1218,
%T 3045,4060,3045,1218,203,877,6139,18417,30695,30695,18417,6139,877,
%U 4140,33120,115920,231840,289800,231840,115920,33120,4140,21147
%N Exponential transform of Pascal's triangle A007318.
%C Triangle T(n,k), 0 <= k <= n, read by rows, given by [1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, ...] DELTA [1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, ...] where DELTA is the operator defined in A084938. - _Philippe Deléham_, Aug 10 2005
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%H <a href="/index/Pas#Pascal">Index entries for triangles and arrays related to Pascal's triangle</a>
%F a(n,k) = Bell(n)*C(n,k).
%F E.g.f.: A(x,y) = exp(exp(x+xy)-1).
%e 1;
%e 1, 1;
%e 2, 4, 2;
%e 5, 15, 15, 5;
%e 15, 60, 90, 60, 15; ...
%Y Cf. A000110, A007318. Row sums give A055882.
%K nonn,tabl
%O 0,4
%A _Christian G. Bower_, Jun 09 2000
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