A348207 - OEIS

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A348207

Product_{n>=1} (1 + a(n)*x^n/(n!)^2) = BesselI(0,2*sqrt(x)).

2

1, 1, -8, 129, -2424, 87040, -3354000, 234927105, -13619579120, 1467819193176, -142339701178080, 21415200007555200, -2958022926285910560, 605932431017659471440, -110644439905256239190208, 32132110188849291391675905, -7427852296898683736690604000

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..17.

FORMULA

Product_{n>=1} (1 + a(n)*x^n/(n!)^2) = Sum_{n>=0} x^n/(n!)^2.

CROSSREFS

Cf. A006973, A137852, A157159, A157164, A348205, A348206.

Sequence in context: A041115 A348546 A041112 * A392208 A356914 A364986

Adjacent sequences: A348204 A348205 A348206 * A348208 A348209 A348210

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Oct 06 2021

STATUS

approved