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%I #29 Nov 23 2017 20:22:45
%S 1,2,20,324,7336,213500,7593744,319195800,15481238224,850968357228,
%T 52279073479120,3549850939488392,263999303861731200,
%U 21340730504572110008,1863120652816098506432,174706136370865217610000,17512175948995988236164000,1868638289932305589084614220,211478046685658614366937497296
%N a(n) = n! * [x^n] exp(2*n*x)*BesselI(0,2*x)^n.
%C The n-th term of the n-fold exponential convolution of A000984 with themselves.
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%t Table[n! SeriesCoefficient[Exp[2 n x] BesselI[0, 2 x]^n, {x, 0, n}], {n, 0, 18}]
%Y Cf. A000984, A081085, A091527, A293491.
%K nonn
%O 0,2
%A _Ilya Gutkovskiy_, Nov 23 2017
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