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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 (list; graph; refs; listen; history; text; internal format)
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: A207982 A259155 A210144 * A066159 A103027 A093902

Adjacent sequences:  A243354 A243355 A243356 * A243358 A243359 A243360

KEYWORD

nonn,base,look

AUTHOR

N. J. A. Sloane, Jun 25 2014

STATUS

approved

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Last modified April 25 00:46 EDT 2017. Contains 285346 sequences.