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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.
1
126, 6, 21, 153, 3, 51, 1206, 6, 201, 1260, 6, 210, 1260, 21, 60, 1395, 15, 93, 1435, 35, 41, 1503, 3, 501, 1530, 3, 510, 1530, 30, 51, 1827, 21, 87, 2187, 27, 81, 3159, 9, 351, 3784, 8, 473, 10426, 26, 401, 12384, 3, 4128, 12546, 51, 246, 12843, 3, 4281, 12964, 14, 926, 13950, 15, 930
OFFSET
1,1
COMMENTS
The sequence is finite; it has 23425 triples (A,B,C) and thus 70275 terms. The last triple is (8410593762,9654,871203).
LINKS
Gilles Esposito-Farèse, Table of n, a(n) for n = 1..50000
EXAMPLE
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;
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;
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.
...
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).
CROSSREFS
Cf. A020342 (Vampire numbers, definition 1).
Sequence in context: A050451 A059024 A365896 * A267199 A348898 A267403
KEYWORD
base,nonn,fini,tabf
AUTHOR
Gilles Esposito-Farèse and Eric Angelini, Jan 16 2020
STATUS
approved