A086820 Continued fraction expansion of Lochs constant.

0, 1, 32, 1, 1, 1, 2, 1, 46, 7, 2, 7, 10, 8, 1, 71, 1, 37, 1, 1, 23, 5, 1, 1, 5, 11, 1, 5, 3, 1, 1, 2, 115, 1, 21, 3, 3, 1, 4, 39, 1, 2, 3, 26, 1, 4, 1, 1, 1, 1, 7, 1, 49, 1, 2, 1, 6, 1, 5, 40, 1, 1, 1, 7, 6, 2, 15, 6, 20, 7, 3, 6, 2, 2, 2, 2, 1, 3, 1, 3, 1, 1, 1, 1, 1, 4, 159, 1, 1, 35, 2, 1, 2, 2, 1, 1, 1

Offset

0,3

Comments

a(n+1) = A062543(n) since Lochs constant = 1/continued fractions constant. - Gerald McGarvey, Aug 02 2004

Links

Table of n, a(n) for n=0..96.

Eric Weisstein's World of Mathematics, Lochs theorem.

Formula

Lochs constant = 6*log(2)*log(10)/Pi^2 = 0.9702701143920339257...

Mathematica

ContinuedFraction[(6 Log[2]Log[10])/Pi^2, 100] (* Harvey P. Dale, Jul 19 2013 *)

Crossrefs

Sequence in context: A079312 A221423 A062543 * A354946 A351000 A174923

Adjacent sequences: A086817 A086818 A086819 * A086821 A086822 A086823

Keyword

cofr,nonn

Author

Benoit Cloitre, Aug 06 2003

Status

approved