A243357 Lexicographically earliest sequence of integers with property that if a vertical line is drawn between any pair of adjacent digits, the number Z formed by the digits to the left of the line is divisible by the final digit of Z.

1, 2, 3, 5, 11, 12, 4, 8, 7, 13, 6, 9, 15, 17, 16, 21, 22, 23, 24, 25, 26, 31, 28, 27, 51, 52, 32, 41, 53, 33, 35, 55, 36, 39, 61, 29, 62, 19, 63, 57, 64, 42, 44, 37, 56, 45, 65, 111, 112, 48, 66, 91, 113, 68, 43, 92, 46, 69, 93, 115, 116, 81, 95, 121, 96, 82, 119, 99, 122, 49, 71, 124, 84, 47, 72, 85, 67, 75, 59, 123, 117, 77, 73, 125

Offset: 1

Author

N. J. A. Sloane, Jun 25 2014

Keywords

• nonn
• base
• look

Comments

Apart from numbers containing the digit zero, the first numbers that cannot appear as terms are 14, 18, 34, 38, 54, 58, 74, 78, 94, 98, 114, 118, 134, 138, 141, 142, 143, 144, 145, 146, 147, 148, 149, 154, 158, 174, ... (see A244033, A244034). - Giovanni Resta, Jun 25 2014; Jun 26 2014

Examples

			1 / 1 = 1
12 / 2 = 6
123 / 3 = 41
1235 / 5 = 247
12351 / 1 = 12351
123511 / 1 = 123511
1235111 / 1 = 1235111
12351112 / 2 = 6175556
123511124 / 4 = 30877781
1235111248 / 8 = 154388906 ...
		

References

• Eric Angelini, Posting to Sequence Fans Mailing List, Jun 24 2014

Links

• Giovanni Resta, Table of n, a(n) for n = 1..10000
• Giovanni Resta, First 10^6 terms (2.2 MB zip file)

Crossrefs

Cf. A244033, A244034.

A244471 and A244496 are sister sequences.