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A197036 Decimal expansion of the Modified Bessel Function I of order 0 at 1. 6
1, 2, 6, 6, 0, 6, 5, 8, 7, 7, 7, 5, 2, 0, 0, 8, 3, 3, 5, 5, 9, 8, 2, 4, 4, 6, 2, 5, 2, 1, 4, 7, 1, 7, 5, 3, 7, 6, 0, 7, 6, 7, 0, 3, 1, 1, 3, 5, 4, 9, 6, 2, 2, 0, 6, 8, 0, 8, 1, 3, 5, 3, 3, 1, 2, 1, 3, 5, 7, 5, 0, 1, 6, 1, 2, 2, 7, 7, 5, 4, 7, 0, 3, 9, 4, 8, 1, 8, 3, 5, 7, 1, 4, 7, 2, 8, 0, 1, 0, 1, 8, 7, 1, 0, 3, 6, 1, 3, 4, 6, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..111.

Abramowitz and Stegun Handbook of Mathematical functions, Chapter 9.6

Eric Weisstein, Modified Bessel Function of the First Kind, MathWorld

FORMULA

I_0(1)= sum_{k=0..infinity} 1/(4^k*k!^2) = sum_{k>=0} 1/A002454(k).

Equals (1/Pi)*integral(t=0..Pi) exp(cos(t)) dt.

EXAMPLE

1.26606587...

MAPLE

BesselI(0, 1) ; evalf(%) ;

PROG

(PARI) besseli(0, 1) \\ Charles R Greathouse IV, Feb 19 2014

CROSSREFS

Sequence in context: A107495 A019716 A106152 * A110666 A200485 A201318

Adjacent sequences:  A197033 A197034 A197035 * A197037 A197038 A197039

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar, Oct 08 2011

STATUS

approved

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Last modified April 25 23:17 EDT 2017. Contains 285426 sequences.