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A342078 Odd digits only come in successive pairs (separated or not by a comma). 3
1, 10, 2, 3, 30, 4, 5, 50, 6, 7, 70, 8, 9, 90, 11, 20, 21, 12, 22, 23, 31, 13, 32, 24, 25, 51, 14, 26, 27, 71, 15, 52, 28, 29, 91, 16, 33, 40, 41, 17, 72, 42, 43, 34, 44, 45, 53, 35, 54, 46, 47, 73, 36, 48, 49, 92, 55, 60, 61, 18, 62, 63, 37, 74, 64, 65, 56, 66, 67, 75, 57, 76, 68 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The sequence starts with a(1) = 1 and is always extended with the smallest positive integer not yet present that does not lead to a contradiction.

LINKS

Table of n, a(n) for n=1..73.

EXAMPLE

a(1) = 1 forces the next digit to be a 1 (as odd digits must come in pairs); the smallest positive integer not yet present that starts with a 1 and does not lead to a contradiction is 10. Thus, a(2) = 10;

a(3) = 2 as the smallest positive integer not yet present that does not lead to a contradiction is 2;

a(4) = 3 as the smallest positive integer not yet present that does not lead to a contradiction is 3;

a(5) = 30 as a(5) must start with a 3 (the odd digits must come in pairs) and 30 is the smallest positive integer not yet present that does not lead to a contradiction; etc.

PROG

(Python) # see A342076 for aupton, pairsup

mustpair = {1, 3, 5, 7, 9}

print(aupton(67)) # Michael S. Branicky, Feb 28 2021

CROSSREFS

Cf. A342076, A342077 and A342079 (variations on the same idea).

Sequence in context: A333478 A336954 A322467 * A049296 A220468 A169851

Adjacent sequences:  A342075 A342076 A342077 * A342079 A342080 A342081

KEYWORD

base,nonn

AUTHOR

Eric Angelini, Feb 28 2021

STATUS

approved

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Last modified May 22 00:02 EDT 2022. Contains 353931 sequences. (Running on oeis4.)