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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.
5
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
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
A244471 and A244496 are sister sequences.
Sequence in context: A259155 A354400 A210144 * A066159 A316794 A372009
KEYWORD
nonn,base,look
AUTHOR
N. J. A. Sloane, Jun 25 2014
STATUS
approved