A273617 Divide a(n) by the last digit of a(n-1); the remainder is the first digit of a(n+1). The sequence is started with a(1)=2 and always extended with the smallest integer not yet present in the sequence and not leading to a contradiction.

2, 3, 13, 14, 22, 23, 16, 15, 32, 25, 12, 27, 17, 33, 5, 24, 42, 29, 19, 102, 35, 18, 34, 26, 28, 4, 43, 37, 103, 52, 105, 104, 45, 106, 107, 53, 44, 202, 203, 109, 112, 47, 108, 36, 46, 49, 113, 55, 114, 402, 205, 116, 115, 117, 204, 118, 206, 62, 207, 122, 39, 119, 208, 123, 38, 209, 124, 7, 302, 125, 126, 127, 128, 212, 403, 133, 134, 213, 136, 129, 303, 64, 135, 304, 405, 132, 215, 137, 214, 406, 217, 138, 54, 6, 218, 219, 305, 8

Offset

1,1

Comments

No term can end with the digits 0 or 1 as those would produce a division by 0. This means that no term a(n) in the sequence is divisible by the last digit of a(n-1)

Links

Eric Angelini, Table of n, a(n) for n = 1..10000

Example

3 divided by 2 leaves 1 (this "1" starts the next integer)
13 divided by 3 leaves 1 (this "1" starts the next integer)
14 divided by 3 leaves 2 (this "2" starts the next integer)
22 divided by 4 leaves 2 (this "2" starts the next integer)
23 divided by 2 leaves 1 (this "1" starts the next integer)
16 divided by 3 leaves 1 (this "1" starts the next integer)
15 divided by 6 leaves 3 (this "3" starts the next integer)
32 divided by 5 leaves 2 (this "2" starts the next integer)
25 divided by 2 leaves 1 (this "1" starts the next integer)
12 divided by 5 leaves 2 (this "2" starts the next integer)
27 divided by 2 leaves 1 (this "1" starts the next integer)

Crossrefs

Sequence in context: A100385 A250184 A128460 * A101541 A299543 A059670

Adjacent sequences: A273614 A273615 A273616 * A273618 A273619 A273620

Keyword

nonn,base

Author

Eric Angelini and Jean-Marc Falcoz, Jun 16 2016

Status

approved