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A091681 Decimal expansion of BesselJ(0,2). 4
2, 2, 3, 8, 9, 0, 7, 7, 9, 1, 4, 1, 2, 3, 5, 6, 6, 8, 0, 5, 1, 8, 2, 7, 4, 5, 4, 6, 4, 9, 9, 4, 8, 6, 2, 5, 8, 2, 5, 1, 5, 4, 4, 8, 2, 2, 1, 8, 6, 0, 7, 6, 0, 3, 1, 2, 8, 3, 4, 9, 7, 0, 6, 0, 1, 0, 8, 5, 3, 9, 5, 7, 7, 6, 8, 0, 1, 0, 7, 0, 5, 0, 1, 4, 8, 1, 1, 5, 1, 1, 8, 5, 3, 4, 2, 9, 3, 6, 6, 0, 4, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Sum_{k>=0} (-1)^k/(k!)^2.

The Pierce Expansion of this number is the squares > 1: 4,9,16,25,... - Franklin T. Adams-Watters, May 22 2006

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..2500

Eric Weisstein's World of Mathematics, Factorial Sums

Eric Weisstein's World of Mathematics, Pierce Expansion

FORMULA

Continued fraction expansion: BesselJ(0,2) = 1/(4 + 4/(8 + 9/(15 + ... + (n - 1)^2/(n^2 + 1 + ...)))). See A073701 for a proof. - Peter Bala, Feb 01 2015

EXAMPLE

0.223890779...

MATHEMATICA

RealDigits[N[BesselJ[0, 2], 250]][[1]] (* G. C. Greubel, Dec 26 2016 *)

PROG

(PARI) besselj(0, 2) \\ Charles R Greathouse IV, Feb 19 2014

CROSSREFS

Cf A000290, A068985, A073701.

Sequence in context: A153935 A153944 A046652 * A076541 A227380 A159789

Adjacent sequences:  A091678 A091679 A091680 * A091682 A091683 A091684

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Jan 28 2004

STATUS

approved

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Last modified June 22 12:24 EDT 2017. Contains 288613 sequences.