A120028 Continued fraction expansion of the value of Minkowski's question mark function at Levy's constant (Exp[Pi^2/(12*Log[2])], A086702).

3, 6, 10, 2, 8388607, 1, 1, 10, 5, 1, 19802808501020211999048785114, 1, 5, 1, 5, 2, 2, 10, 4, 1, 142, 3, 1, 1, 1, 1, 1, 2, 13, 16, 1, 83, 2, 4, 1, 15, 1, 62, 1, 20, 1, 2, 1, 1, 1, 9, 1, 1, 1, 13, 2, 3, 1, 4, 1, 5, 1, 1, 1, 5, 7, 1, 27, 1, 2, 4, 3, 1, 3, 3, 1, 7, 2, 1, 1, 91, 11, 1, 2, 4, 4

Offset: 0

Author

Joseph Biberstine (jrbibers(AT)indiana.edu), Jun 04 2006

Keywords

• cofr
• nonn

Comments

a[92] has over 150 decimal digits, making 750332738256083509758042341909438953923620244270237443771885409340366143805720089/2^267 an excellent approximation to the constant.

Links

• Index entries for Minkowski's question mark function
• Index entries for sequences related to Minkowski's question mark function

Crossrefs

Cf. A120029.

Programs

Mathematica

ContinuedFraction[cf = ContinuedFraction[Exp[Pi^2/(12*Log[2])], 50(*arbitrary precision*)]; IntegerPart[Exp[Pi^2/(12*Log[2])]] + Sum[(-1)^(k)/2^(Sum[cf[[i]], {i, 2, k}] - 1), {k, 2, Length[cf]}]]