login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Cf. A242282.

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 14 17:41 EST 2019. Contains 329979 sequences. (Running on oeis4.)