A225092 Decimal expansion of (-1)*lim_{k->inf} log^k(2^^k), where log^k(x) denotes repeated natural logarithm log(log(...(log(x)))) with k log's and 2^^k denotes a power tower 2^2^...^2 with k 2's.

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