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.

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

Adjacent sequences: A331398 A331399 A331400 * A331402 A331403 A331404

Keyword

base,nonn,fini,tabf

Author

Gilles Esposito-Farèse and Eric Angelini, Jan 16 2020

Status

approved