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A096789 Decimal expansion of BesselI(1,2). 20
1, 5, 9, 0, 6, 3, 6, 8, 5, 4, 6, 3, 7, 3, 2, 9, 0, 6, 3, 3, 8, 2, 2, 5, 4, 4, 2, 4, 9, 9, 9, 6, 6, 6, 2, 4, 7, 9, 5, 4, 4, 7, 8, 1, 5, 9, 4, 9, 5, 5, 3, 6, 6, 4, 7, 1, 3, 2, 2, 8, 7, 9, 8, 4, 6, 0, 8, 5, 4, 5, 0, 3, 7, 5, 3, 5, 3, 6, 1, 1, 8, 5, 1, 1, 6, 1, 2, 2, 1, 4, 7, 5, 9, 4, 2, 2, 8, 9, 2, 5, 2, 3, 7, 7, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

A.H.M. Smeets, Table of n, a(n) for n = 1..20000

E. W. Weisstein, Modified Bessel Function of the First Kind

FORMULA

Equals Sum_{k >= 0} k/k!^2.

Continued fraction expansion: 1/(1 - 1/(3 - 2/(7 - 6/(13 - 12/(21 - ... - n*(n-1)/(n^2+n+1 - ...)))))). For a sketch of the proof see A228229. Cf. A070910. - Peter Bala, Aug 19 2013

EXAMPLE

1.59063685463732906338225...

MAPLE

evalf(BesselI(1, 2)). # R. J. Mathar, Oct 16 2015

MATHEMATICA

RealDigits[BesselI[1, 2], 10, 110][[1]]

(* Or *) RealDigits[ Sum[ n/(n!n!), {n, 0, Infinity}], 10, 110][[1]]

PROG

(PARI) besseli(1, 2) \\ Charles R Greathouse IV, Feb 19 2014

CROSSREFS

Cf. A070910. A228229.

Sequence in context: A195372 A193017 A277651 * A261623 A298515 A306778

Adjacent sequences:  A096786 A096787 A096788 * A096790 A096791 A096792

KEYWORD

cons,easy,nonn

AUTHOR

Robert G. Wilson v, Jul 09 2004

STATUS

approved

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Last modified July 23 16:14 EDT 2019. Contains 325258 sequences. (Running on oeis4.)