[math-fun] self-reproducing decimal numbers

This is from Erich Friedman, who is having trouble posting directly. --Rich ----- funsters, i'm looking for self-reproducing decimal numbers, numbers that can be formed using their decimal digits (both to the left and right of the decimal point) in order together with the 4 usual arithmetic operations, exponentiation, concatenation, and as many parentheses as you like. notice that decimal points are not allowed. some examples are: .28125 = (2 + 8 - 1) / 2^5 1562.5 = 1 x 5^6 / 2 / 5 i'll even accept repeating decimals like: .1(6) = 1 / 6 5208.(3) = 5^(-2 + 0 + 8) / 3 it's easy to find examples using lots of digits. i was curious how many examples there were using, say, 5 digits or fewer. erich friedman