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

1,2

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

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)

Example

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 ...

Crossrefs

Cf. A244033, A244034.

A244471 and A244496 are sister sequences.

Sequence in context: A259155 A354400 A210144 * A066159 A316794 A103027

Adjacent sequences: A243354 A243355 A243356 * A243358 A243359 A243360

Keyword

nonn,base,look

Author

N. J. A. Sloane, Jun 25 2014

Status

approved