cp's OEIS Frontend

A371993 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.

%I A371993 #6 Apr 24 2024 08:47:30
%S A371993 100,20,120,102,120,240,1260,1680,8598
%N A371993 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 A371993 The factorizations are:
%e A371993 a(1) = 100 = [10, 10]
%e A371993 a(2) = 20 = [2, 10]
%e A371993 a(3) = 120 = [2, 2, 3, 10]
%e A371993 a(4) = 102 = [3, 34]
%e A371993 a(5) = 120 = [2, 3, 4, 5]
%e A371993 a(6) = 240 = [3, 5, 16]
%e A371993 a(7) = 1260 = [3, 3, 4, 5, 7]
%e A371993 a(8) = 1680 = [2, 2, 3, 4, 5, 7]
%e A371993 a(9) = 8596 = [2, 14, 307]
%Y A371993 Cf. A371958, A370970, A370972.
%K A371993 nonn,base,fini,full
%O A371993 1,1
%A A371993 _Scott R. Shannon_, Apr 15 2024