

A056030


Continued fraction for 0.12112111211112... (A042974).


2



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
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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 * A195473 A195728 A214406
Adjacent sequences: A056027 A056028 A056029 * A056031 A056032 A056033


KEYWORD

easy,nonn,cofr


AUTHOR

Robert G. Wilson v, Jul 24 2000


STATUS

approved



