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Search: id:A052119
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| A052119 |
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Decimal expansion of number with continued fraction expansion 0, 1, 2, 3, 4, 5, 6, ... |
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+0
4
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| 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; cons; graph; listen)
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OFFSET
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0,1
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LINKS
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S. Plouffe, 10000 digits
S. 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
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FORMULA
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BesselI(1, 2)/BesselI(0, 2) = A096789/A070910. - Henry Bottomley (se16(AT)btinternet.com), 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 (rgwv(AT)rgwv.com), Jul 09 2004
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EXAMPLE
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0.697774657964007982006790592551752599486658...
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MATHEMATICA
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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 (rgwv(AT)rgwv.com), Jul 09 2004
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CROSSREFS
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Equals 1/A060997.
Adjacent sequences: A052116 A052117 A052118 this_sequence A052120 A052121 A052122
Sequence in context: A065414 A019813 A096767 this_sequence A021593 A019696 A119801
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KEYWORD
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cons,easy,nonn,nice
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AUTHOR
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Robert Lozyniak (11(AT)onna.com), Jan 21 2000
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 30, 2000.
Entry revised by njas, Aug 13 2006
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