

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).


2



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
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OFFSET

1,3


COMMENTS

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


LINKS

JeanMarc 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 JeanMarc Falcoz, Aug 31 2018


STATUS

approved



