A067616 Continued fraction expansion for Sum_{k>=1} 1/(2^k-1)^2.

1, 7, 3, 1, 1, 4, 57, 2, 3, 1, 5, 1, 3, 1, 2, 3, 9, 1, 2, 9, 3, 1, 18, 7, 1, 2, 6, 2, 1, 35, 2, 1, 5, 84, 3, 2, 7, 1, 1, 1, 28, 2, 1, 2, 1, 2, 3, 1, 2, 19, 1, 17, 1, 1, 8, 4, 3, 1, 81, 7, 1, 154, 24, 1, 65, 7, 3, 5, 94, 7, 1, 1, 8, 32, 3, 1, 1, 1, 3, 8, 2, 2, 2, 1, 5, 1, 2, 1, 1, 1, 7, 1, 5, 1, 3, 2

Offset: 0

Author

Frank Ellermann, Feb 23 2002

Keywords

• nonn
• cofr

Examples

			1.137338736344196596696913368... = 1 + 1/(7 + 1/(3 + 1/(1 + 1/(1 + ...))))
		

Links

• Harry J. Smith, Table of n, a(n) for n = 0..1999

Crossrefs

Cf. A065443 (decimal expansion).

Programs

PARI

{ default(realprecision, 2400); x=contfrac(x=suminf(k=1, 1/(2^k - 1)^2)); for (n=1, 2000, write("b078075.txt", n-1, " ", x[n])) } /* Harry J. Smith, Oct 19 2009 */

Extensions

Offset changed by Andrew Howroyd, Aug 05 2024