A318647 Lexicographically first sequence of distinct nonnegative terms whose succession of digits is the same as in its associated sequence P (see the Comments section for P).

0, 1, 11, 101, 12, 51, 13, 41, 501, 111, 103, 14, 15, 30, 21, 121, 131, 141, 102, 53, 17, 23, 5, 61, 201, 16, 211, 151, 113, 161, 107, 221, 105, 2, 115, 123, 171, 18, 91, 31, 52, 3, 40, 71, 104, 42, 181, 191, 125, 301, 1001, 1011, 133, 108, 231, 112, 57, 122, 117, 32, 55, 127, 33, 54, 303, 1021, 137, 1031, 19, 29, 1041

Offset

1,3

Comments

P(n) is the product [last digit of a(n) * first digit of a(n+1)].

Links

Jean-Marc Falcoz, Table of n, a(n) for n = 1..174

Example

The sequence starts with 0,1,11,101,12,51,13,41,501,111,...
Let's make the successive products of [the last digit of a(n) * the first digit of a(n+1)]; we have [0*1] = 0; then [1*1] = 1; then [1*1] = 1; then [1*1] = 1; then [2*5] = 10; then [1*1] = 1; then [3*4] = 12; then [1*5] = 5; then [1*1] = 1; etc.
Those successive products build the sequence P = 0, 1, 1, 1, 10, 1, 12, 5, 1, ... and P shows the same succession of digits as the starting sequence.

Crossrefs

Cf. A318648 for the sum (instead of the product) of the digits "framing a comma" in the sequence.

Sequence in context: A168586 A330290 A330291 * A185121 A133835 A326108

Adjacent sequences: A318644 A318645 A318646 * A318648 A318649 A318650

Keyword

base,nonn

Author

Eric Angelini and Jean-Marc Falcoz, Aug 31 2018

Status

approved