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A294454
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a(n) = n! * [x^n] exp(2*n*x)*BesselI(0,2*x)^n.
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0
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1, 2, 20, 324, 7336, 213500, 7593744, 319195800, 15481238224, 850968357228, 52279073479120, 3549850939488392, 263999303861731200, 21340730504572110008, 1863120652816098506432, 174706136370865217610000, 17512175948995988236164000, 1868638289932305589084614220, 211478046685658614366937497296
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OFFSET
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0,2
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COMMENTS
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The n-th term of the n-fold exponential convolution of A000984 with themselves.
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LINKS
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Table of n, a(n) for n=0..18.
N. J. A. Sloane, Transforms
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MATHEMATICA
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Table[n! SeriesCoefficient[Exp[2 n x] BesselI[0, 2 x]^n, {x, 0, n}], {n, 0, 18}]
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CROSSREFS
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Cf. A000984, A081085, A091527, A293491.
Sequence in context: A177397 A360342 A323574 * A322729 A304861 A104462
Adjacent sequences: A294451 A294452 A294453 * A294455 A294456 A294457
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KEYWORD
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nonn
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AUTHOR
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Ilya Gutkovskiy, Nov 23 2017
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STATUS
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approved
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