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

Author

Gilles Esposito-Farèse and Eric Angelini, Jan 16 2020

Keywords

• base
• nonn
• fini
• tabf

Comments

The sequence is finite; it has 23425 triples (A,B,C) and thus 70275 terms. The last triple is (8410593762,9654,871203).

Examples

			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.
		

Links

• Gilles Esposito-Farèse, Table of n, a(n) for n = 1..50000

Crossrefs

Cf. A020342 (Vampire numbers, definition 1).