Take a number z of x digits and consider any concatenation z = concat(y_1, y_2, ..., y_i) where y_1, y_2, ..., y_i have the same number of digits. Then let f(z) be the sum of the products y_1*y_2*...*y_i for all those concatenations. Sequence lists numbers z such that f(f(z)) = z. (see example.)

A317593

Take a number z of x digits and consider any concatenation z = concat(y_1, y_2, ..., y_i) where y_1, y_2, ..., y_i have the same number of digits. Then let f(z) be the sum of the products y_1*y_2*...*y_i for all those concatenations. Sequence lists numbers z such that f(f(z)) = z. (see example.)

Terms

    a(0) =1488a(1) =2992a(2) =5692a(3) =101875a(4) =165864a(5) =207712a(6) =425830a(7) =569953a(8) =872539a(9) =20988160a(10) =25768720a(11) =26645280a(12) =48218580a(13) =48418542a(14) =50519902a(15) =1055195775a(16) =1175196540a(17) =1661395240a(18) =1971592669a(19) =2056199802a(20) =2601999369a(21) =3016199710a(22) =3068196150a(23) =3545196660a(24) =3835794250a(25) =3896098816a(26) =5520199708

External references