A056030 Continued fraction for 0.12112111211112... (A042974).

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

1,2

Links

Harry J. Smith, Table of n, a(n) for n = 1..20000

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]

Prog

(PARI) { allocatemem(932245000); default(realprecision, 20080); x=0; for (n=1, 20000, x=10*x + 1 + issquare(9+8*n)); x/=10^20000; x=contfrac(x); for (n=1, 20000, write("b056030.txt", n, " ", x[n])); } \\ Harry J. Smith, May 08 2009

Crossrefs

Cf. A042974.

Sequence in context: A088453 A019782 A221209 * A364889 A195473 A195728

Adjacent sequences: A056027 A056028 A056029 * A056031 A056032 A056033

Keyword

easy,nonn,cofr

Author

Robert G. Wilson v, Jul 24 2000

Status

approved