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A308742
Decimal expansion of BesselI(3/4,1/2)/BesselI(-1/4,1/2).
5
3, 1, 8, 3, 6, 6, 2, 4, 6, 7, 2, 8, 3, 1, 6, 4, 7, 1, 6, 8, 1, 9, 0, 8, 7, 0, 7, 6, 4, 4, 3, 8, 6, 9, 3, 4, 7, 3, 9, 9, 7, 9, 5, 3, 0, 1, 2, 4, 2, 1, 0, 4, 6, 3, 7, 6, 0, 3, 0, 6, 4, 2, 0, 4, 0, 5, 7, 5, 3, 3, 3, 8, 7, 5, 9, 3, 0, 1, 4, 2, 9, 0, 9, 4, 9, 7, 3, 7, 3, 3, 1, 1, 7, 8, 2, 0, 1, 1, 1, 6, 4, 4, 0, 0, 1, 4, 9, 1, 7, 1
OFFSET
0,1
FORMULA
Equals 1/(3 + 1/(7 + 1/(11 + 1/(15 + 1/(19 + 1/(23 + 1/(27 + 1/(31 + 1/(35 + 1/(39 + ...)))))))))).
EXAMPLE
0.31836624672831647168190870764438693473997953012421...
MATHEMATICA
RealDigits[BesselI[3/4, 1/2]/BesselI[-1/4, 1/2], 10, 110] [[1]]
PROG
(PARI) besseli(3/4, 1/2)/besseli(-1/4, 1/2) \\ Charles R Greathouse IV, Oct 23 2023
CROSSREFS
Cf. A004767 (continued fraction), A298242, A308739, A308740, A308741, A308743, A308744.
Sequence in context: A130300 A366873 A345656 * A065451 A178148 A337681
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Jun 21 2019
STATUS
approved