A371993 - OEIS

%I #6 Apr 24 2024 08:47:30

%S 100,20,120,102,120,240,1260,1680,8598

%N The smallest number k that has a factorization k = f1*f2*...*fr where the digits of {k, f1, f2, ..., fr} together contain all, and only, the digits 0..n, where n<=9.

%e The factorizations are:

%e a(1) = 100 = [10, 10]

%e a(2) = 20 = [2, 10]

%e a(3) = 120 = [2, 2, 3, 10]

%e a(4) = 102 = [3, 34]

%e a(5) = 120 = [2, 3, 4, 5]

%e a(6) = 240 = [3, 5, 16]

%e a(7) = 1260 = [3, 3, 4, 5, 7]

%e a(8) = 1680 = [2, 2, 3, 4, 5, 7]

%e a(9) = 8596 = [2, 14, 307]

%Y Cf. A371958, A370970, A370972.

%K nonn,base,fini,full

%O 1,1

%A _Scott R. Shannon_, Apr 15 2024