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A298241
Decimal expansion of BesselI(1,2/3)/BesselI(0,2/3).
5
3, 1, 6, 0, 8, 9, 2, 4, 1, 2, 6, 8, 2, 2, 1, 1, 8, 4, 0, 9, 5, 6, 0, 1, 6, 9, 1, 7, 1, 0, 5, 1, 8, 1, 1, 4, 7, 6, 6, 8, 6, 2, 9, 2, 7, 0, 0, 7, 0, 4, 1, 8, 2, 0, 7, 3, 9, 5, 4, 0, 0, 7, 3, 4, 7, 3, 2, 4, 1, 1, 6, 1, 8, 0, 4, 2, 7, 3, 5, 5, 9, 1, 8, 9, 8, 6, 6, 0, 7, 2, 1, 6, 4, 3, 9, 0, 0, 6, 6, 3, 3, 8, 1, 2, 7, 3, 8, 2, 3, 6
OFFSET
0,1
FORMULA
Equals 1/(3 + 1/(6 + 1/(9 + 1/(12 + 1/(15 + 1/(18 + ...)))))).
EXAMPLE
0.3160892412682211840956016917105181147668629270070418207...
MATHEMATICA
RealDigits[BesselI[1, 2/3]/BesselI[0, 2/3], 10, 110] [[1]]
RealDigits[Hypergeometric0F1[2, (2/3)^2/4] /(3 Gamma[2] Hypergeometric0F1[1, (2/3)^2/4]), 10, 110][[1]]
PROG
(PARI) besseli(1, 2/3)/besseli(0, 2/3) \\ Michel Marcus, Jul 03 2018
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Jan 15 2018
STATUS
approved