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A331401 Table of distinct triples (A,B,C) such that A = B * C with B < C and A's digits being distinct and split between B and C.

%I A331401 #33 Dec 19 2024 21:17:26
%S A331401 126,6,21,153,3,51,1206,6,201,1260,6,210,1260,21,60,1395,15,93,1435,
%T A331401 35,41,1503,3,501,1530,3,510,1530,30,51,1827,21,87,2187,27,81,3159,9,
%U A331401 351,3784,8,473,10426,26,401,12384,3,4128,12546,51,246,12843,3,4281,12964,14,926,13950,15,930
%N A331401 Table of distinct triples (A,B,C) such that A = B * C with B < C and A's digits being distinct and split between B and C.
%C A331401 The sequence is finite; it has 23425 triples (A,B,C) and thus 70275 terms. The last triple is (8410593762,9654,871203).
%H A331401 Gilles Esposito-Farèse, <a href="/A331401/b331401.txt">Table of n, a(n) for n = 1..50000</a>
%e A331401 The first triple is (126,6,21) and we see that 126 = 6 * 21, the digits of 126 being distinct and split between 6 and 21;
%e A331401 the second triple is (153,3,51) and we see that 153 = 3 * 51, the digits of 153 being distinct and split between 3 and 51;
%e A331401 the third triple is (1206,6,201) and we see that 1206 = 6 * 201, the digits of 1206 being distinct and split between 6 and 201.
%e A331401 ...
%e A331401 The last triple is (8410593762,9654,871203): we see that 8410593762 = 9654 * 871203, the digits of 8410593762 being distinct and split between 9654 and 871203.
%Y A331401 Cf. A020342 (Vampire numbers, definition 1).
%K A331401 base,nonn,fini,tabf
%O A331401 1,1
%A A331401 Gilles Esposito-Farèse and _Eric Angelini_, Jan 16 2020