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A052119 Decimal expansion of number with continued fraction expansion 0, 1, 2, 3, 4, 5, 6, ... 7
6, 9, 7, 7, 7, 4, 6, 5, 7, 9, 6, 4, 0, 0, 7, 9, 8, 2, 0, 0, 6, 7, 9, 0, 5, 9, 2, 5, 5, 1, 7, 5, 2, 5, 9, 9, 4, 8, 6, 6, 5, 8, 2, 6, 2, 9, 9, 8, 0, 2, 1, 2, 3, 2, 3, 6, 8, 6, 3, 0, 0, 8, 2, 8, 1, 6, 5, 3, 0, 8, 5, 2, 7, 6, 4, 6, 4, 1, 1, 1, 2, 9, 9, 6, 9, 6, 5, 6, 5, 4, 1, 8, 2, 6, 7, 6, 5, 6, 8, 7, 2, 3, 9, 8, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..104.

Simon Plouffe, 10000 digits

Simon Plouffe, Bessell(1,2)/Bessell(0,2)

Eric Weisstein's World of Mathematics, Continued Fraction Constant

Eric Weisstein's World of Mathematics, Continued Fraction

Index entries for sequences related to Bessel functions or polynomials

FORMULA

BesselI(1, 2)/BesselI(0, 2) = A096789/A070910. - Henry Bottomley, Jul 13 2001

Equivalently, the value of this continued fraction is the ratio of the sums: sum_{n=0..inf} n/(n!n!) and sum_{n=0..inf} 1/(n!n!). - Robert G. Wilson v, Jul 09 2004

EXAMPLE

0.697774657964007982006790592551752599486658...

MATHEMATICA

RealDigits[ FromContinuedFraction[ Range[0, 44]], 10, 110][[1]]

(* Or *) RealDigits[ BesselI[1, 2] / BesselI[0, 2], 10, 110] [[1]]

(* Or *) RealDigits[ Sum[n/(n!n!), {n, 0, Infinity}] / Sum[1/(n!n!), {n, 0, Infinity}], 10, 110] [[1]] - Robert G. Wilson v, Jul 09 2004

PROG

(PARI) besseli(1, 2)/besseli(0, 2) \\ Charles R Greathouse IV, Feb 19 2014

CROSSREFS

Equals 1/A060997.

Sequence in context: A019813 A096767 A247844 * A021593 A019696 A119801

Adjacent sequences:  A052116 A052117 A052118 * A052120 A052121 A052122

KEYWORD

cons,easy,nonn,nice

AUTHOR

Robert Lozyniak (11(AT)onna.com), Jan 21 2000

EXTENSIONS

More terms from Vladeta Jovovic, Mar 30, 2000.

Entry revised by N. J. A. Sloane, Aug 13 2006

STATUS

approved

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Last modified December 20 19:24 EST 2014. Contains 252289 sequences.