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

Author

Benoit Cloitre, Aug 06 2003

Keywords

• cofr
• nonn

Comments

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

Links

• Eric Weisstein's World of Mathematics, Lochs theorem.

Programs

Mathematica

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

Formula

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