A067616 Continued fraction for sum(k>=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

1,2

Links

Harry J. Smith, Table of n, a(n) for n = 1..2000

Example

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

Prog

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

Crossrefs

Cf. A065443 (decimal expansion).

Sequence in context: A222581 A010139 A078075 * A348992 A199377 A213806

Adjacent sequences: A067613 A067614 A067615 * A067617 A067618 A067619

Keyword

nonn,cofr

Author

Frank Ellermann, Feb 23 2002

Status

approved