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A306311 Lexicographically earliest sequence starting with a(1) = 1 with no duplicate terms such that the n-th digit of the sequence is a divisor of a(n). 7
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 18, 16, 24, 17, 25, 19, 32, 21, 36, 22, 28, 23, 35, 26, 45, 27, 54, 33, 34, 38, 29, 39, 42, 44, 46, 48, 56, 52, 51, 57, 55, 58, 66, 64, 65, 62, 49, 75, 68, 63, 69, 72, 76, 78, 88, 74, 81, 84, 99, 92, 82, 96, 112, 116, 114, 124, 128, 85, 126, 95, 86, 115, 31, 125, 77, 135, 145, 155 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence is a derangement of the zeroless numbers; any 0 digit in a(n) would force a division by zero later in the sequence.

LINKS

Jean-Marc Falcoz, Table of n, a(n) for n = 1..20010

EXAMPLE

The sequence starts with 1,2,3,4,5,6,7,8,9,11,12,13,14,15,18,16,24,17,25,19,32,21,...

The first nine terms speak for themselves;

the 10th digit of the sequence is 1 and 1 is a divisor of a(10) = 11;

the 11th digit of the sequence is 1 and 1 is a divisor of a(11) = 12;

the 12th digit of the sequence is 1 and 1 is a divisor of a(12) = 13;

the 13th digit of the sequence is 2 and 2 is a divisor of a(13) = 14;

the 14th digit of the sequence is 1 and 1 is a divisor of a(14) = 15;

the 15th digit of the sequence is 3 and 3 is a divisor of a(15) = 18;

etc.

CROSSREFS

Cf. A052382 (the zeroless numbers).

Sequence in context: A052044 A253643 A050743 * A028964 A219361 A191878

Adjacent sequences:  A306308 A306309 A306310 * A306312 A306313 A306314

KEYWORD

base,nonn

AUTHOR

Eric Angelini and Jean-Marc Falcoz, Feb 06 2019

STATUS

approved

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Last modified November 22 18:55 EST 2019. Contains 329410 sequences. (Running on oeis4.)