A117723 Numbers for which the product of the digits is the square root of the sum of the digits.
0, 1, 112, 121, 211, 1111113, 1111131, 1111311, 1113111, 1131111, 1311111, 3111111, 11111111111122, 11111111111212, 11111111111221, 11111111112112, 11111111112121, 11111111112211, 11111111121112, 11111111121121
Offset: 1
Examples
1111113 is in the sequence because (1)the product of its digits is 1*1*1*1*1*1*3=3,(2)the sum of its digits is 1+1+1+1+1+1+3=9 and 3 is the square root of 9.