A294454 a(n) = n! * [x^n] exp(2*n*x)*BesselI(0,2*x)^n.

1, 2, 20, 324, 7336, 213500, 7593744, 319195800, 15481238224, 850968357228, 52279073479120, 3549850939488392, 263999303861731200, 21340730504572110008, 1863120652816098506432, 174706136370865217610000, 17512175948995988236164000, 1868638289932305589084614220, 211478046685658614366937497296

Offset

0,2

Comments

The n-th term of the n-fold exponential convolution of A000984 with themselves.

Links

Table of n, a(n) for n=0..18.

N. J. A. Sloane, Transforms

Mathematica

Table[n! SeriesCoefficient[Exp[2 n x] BesselI[0, 2 x]^n, {x, 0, n}], {n, 0, 18}]

Crossrefs

Cf. A000984, A081085, A091527, A293491.

Sequence in context: A177397 A360342 A323574 * A322729 A304861 A104462

Adjacent sequences: A294451 A294452 A294453 * A294455 A294456 A294457

Keyword

nonn

Author

Ilya Gutkovskiy, Nov 23 2017

Status

approved