A081564 Decimal expansion of sum(1/(2^q-1)) with the summation extending over all pairs of integers (p,q)=1 0<p/q<sqrt(2).

1, 5, 8, 0, 9, 6, 0, 3, 8, 1, 7, 1, 5, 0, 7, 0, 8, 6, 6, 8, 5, 3, 2, 5, 8, 0, 6, 5, 3, 4, 8, 8, 5, 9, 5, 0, 5, 0, 0, 3, 8, 7, 4, 2, 1, 3, 4, 6, 0, 3, 7, 5, 2, 7, 1, 0, 9, 2, 0, 5, 2, 5, 9, 2, 9, 4, 9, 9, 3, 7, 8, 3, 8, 8, 9, 6, 0, 6, 9, 4, 0, 3, 6, 8, 3, 5, 2, 7, 5, 8, 9, 1, 2, 5, 4, 6, 5, 0, 0, 1, 7, 6, 0, 8, 3