A329334 - OEIS

A329334

Continued fraction of A328904 = 0.7271601514124259..., solution to 1 + 3^x = 5^x.

0, 1, 2, 1, 1, 1, 72, 1, 3, 2, 6, 1, 1, 2, 45, 1, 5, 13, 73, 1, 2, 1, 9, 1, 1, 1, 3, 2, 3, 3, 2, 1, 2, 2, 1, 1, 19, 1, 1, 1, 1, 5, 1, 5, 2, 4, 3, 1, 6, 1, 1, 2, 1, 9, 8, 1, 4, 1, 1, 20, 1, 1, 2, 1, 5, 2, 2, 1, 2, 5, 1, 56, 1, 1, 1, 6, 127, 1, 1, 7, 2, 7, 1, 6, 1, 1, 3, 1, 54, 1, 1, 3, 2, 1, 1, 3

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..95.

EXAMPLE

0.7271601514124259... = 0 + 1/(1 + 1/(2 + 1/(1 + 1/(1 + 1/(1 + 1/(72 + 1/...))))))

PROG

(PARI) contfrac(c=solve(x=0, 1, 1+3^x-5^x))[^-1] \\ discarding possibly incorrect last term. Use e.g. \p999 to get more terms. - M. F. Hasler, Oct 31 2019

CROSSREFS

Cf. A328912 (cont. frac. of A242208: 1 + 2^x = 4^x), A328913 (cont. frac. of A328900: 2^x + 3^x = 4^x), A329337 (cont. frac. of A328907: 1 + 3^x = 6^x).

Sequence in context: A180849 A067101 A105816 * A062979 A114781 A083890

Adjacent sequences: A329331 A329332 A329333 * A329335 A329336 A329337

KEYWORD

nonn,cofr

AUTHOR

M. F. Hasler, Nov 11 2019

STATUS

approved