A056030 - OEIS

A056030

Continued fraction for 0.12112111211112... .

0, 8, 3, 1, 9, 3, 110, 1, 7, 1, 10, 4, 2, 10, 1, 3, 1, 1, 10, 2, 5, 8, 1, 9, 8, 1, 997, 1, 109, 8, 1, 111, 4, 9, 2, 2, 1, 1, 1, 1, 2, 1, 53, 1, 3, 1, 6, 5, 1, 1, 3, 1, 4, 3, 1, 1, 6, 1, 1, 59, 2, 1, 1, 1, 8, 2, 9, 11, 5, 6, 33, 1, 1, 3, 2, 6, 9, 3, 2, 20, 1, 7, 1, 27, 1, 20, 5, 1, 229, 1, 2, 12, 6

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..19999 [corrected by Kevin Ryde, Aug 04 2025]

G. Xiao, Contfrac

Index entries for continued fractions for constants

EXAMPLE

0.121121112111121111121111112... = 0 + 1/(8 + 1/(3 + 1/(1 + 1/(9 + ...)))). - Harry J. Smith, May 08 2009

MATHEMATICA

ContinuedFraction[N[1/9, 1000]+N[Sum[10^-(n(n+3)/2), {n, 1, 50}], 1000], 100]

CROSSREFS