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

Offset: 1

Author

Robert G. Wilson v, Jul 24 2000

Keywords

• easy
• nonn
• cofr

Examples

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

Links

• Harry J. Smith, Table of n, a(n) for n = 1..20000 [corrected by _Kevin Ryde_, Aug 04 2025]
• G. Xiao, Contfrac
• Index entries for continued fractions for constants

Crossrefs

Cf. A042974.

Programs

Mathematica

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