A113738 Continued fraction expansion of the constant given by Sum_{n>=0} A083952(n)/2^(n+1).

1, 2, 1, 2, 1, 2, 12, 22, 1, 1, 4, 4, 1, 2, 1, 3, 2, 2, 11, 1, 202, 1, 5, 1, 2, 1, 5, 1, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 3, 1, 1, 15, 2, 1, 12, 1, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 10, 1, 6, 5, 1, 2, 1, 2, 6, 1, 1, 2, 8, 2, 19, 3, 1, 1, 1, 2, 1, 1, 1, 5, 1, 2, 2, 1, 3, 1, 6, 12, 2, 4, 1, 5, 1, 2, 4

Offset: 0

Author

Robert G. Wilson v, Nov 08 2005

Keywords

• base
• nonn

Crossrefs

Cf. A083952, A113737.

Programs

Mathematica

a[0] = 1; a[l_] := a[l] = Block[{k = 1, s = Sum[ a[i]*x^i, {i, 0, l - 1}]}, While[ IntegerQ[ Last[ CoefficientList[ Series[(s + k*x^l)^(1/2), {x, 0, l}], x]]] != True, k++ ]; k]; t = Table[a[n], {n, 0, 370}]; ContinuedFraction[ FromDigits[{t - 1, 0}, 2]]

Extensions

Entry revised by Paul D. Hanna, Apr 19 2013