A048650 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A048650

Continued fraction for Sum_{m>=0} 1/(2^2^m - 1).

1, 2, 2, 9, 1, 3, 5, 1, 2, 1, 1, 1, 1, 8, 2, 1, 1, 2, 1, 12, 19, 24, 1, 18, 12, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 8, 1, 1, 5, 2, 5, 8, 1, 4, 2, 5, 1, 1, 8, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 12, 18, 1, 7, 2, 1, 1, 2, 4, 1, 5, 4, 2, 1, 1, 1, 1, 1, 4, 64, 14, 1, 6, 3, 1, 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

G. Xiao, Contfrac

Index entries for continued fractions for constants

EXAMPLE

1.40393682788217832057620607413720935453...

1.403936827882178320576206074... = 1 + 1/(2 + 1/(2 + 1/(9 + 1/(1 + ...)))). - Harry J. Smith, May 03 2009

PROG

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=suminf(m=0, 1/(2^2^m - 1)); x=contfrac(x); for (n=1, 20000, write("b048650.txt", n-1, " ", x[n])); } \\ Harry J. Smith, May 07 2009

CROSSREFS

Cf. A048164, A048649 (decimal expansion).

Sequence in context: A365307 A351400 A176020 * A125313 A199058 A274569

Adjacent sequences: A048647 A048648 A048649 * A048651 A048652 A048653

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

EXTENSIONS

Deleted old PARI program. - Harry J. Smith, May 20 2009

Offset changed by Andrew Howroyd, Aug 03 2024

STATUS

approved