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A334383 Decimal expansion of Sum_{k>=0} (-1)^k/(2^k*(k!)^2). 2
5, 5, 9, 1, 3, 4, 1, 4, 4, 4, 1, 8, 9, 7, 9, 9, 1, 7, 4, 8, 8, 2, 6, 8, 4, 6, 7, 9, 1, 6, 8, 9, 6, 4, 0, 9, 8, 0, 6, 3, 6, 2, 5, 0, 4, 0, 3, 0, 9, 8, 3, 8, 6, 5, 7, 1, 5, 3, 1, 1, 7, 3, 4, 2, 1, 9, 7, 1, 7, 1, 2, 9, 2, 2, 8, 0, 2, 3, 1, 2, 6, 5, 1, 5, 7, 1, 0, 4, 4, 1, 9, 0, 2, 3, 4, 7, 2, 9, 4, 9, 4, 0, 8, 7, 4, 4, 9, 4, 4, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..109.

Index entries for sequences related to Bessel functions or polynomials

Index entries for transcendental numbers

FORMULA

Equals BesselJ(0,sqrt(2)).

EXAMPLE

1/(2^0*0!^2) - 1/(2^1*1!^2) + 1/(2^2*2!^2) - 1/(2^3*3!^2) + ... = 0.5591341444189799174882684679...

MATHEMATICA

RealDigits[BesselJ[0, Sqrt[2]], 10, 110] [[1]]

PROG

(PARI) besselj(0, sqrt(2)) \\ Michel Marcus, Apr 26 2020

CROSSREFS

Cf. A055546, A091681, A092605, A334380, A334381.

Sequence in context: A081287 A303715 A204188 * A019843 A335319 A046567

Adjacent sequences:  A334380 A334381 A334382 * A334384 A334385 A334386

KEYWORD

nonn,cons

AUTHOR

Ilya Gutkovskiy, Apr 25 2020

STATUS

approved

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Last modified April 19 11:46 EDT 2021. Contains 343114 sequences. (Running on oeis4.)