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A288945
Starting with a(1) = 1, a(n) = smallest nonnegative integer not yet in the sequence such that the first digit of a(n) is the last digit of a(n-1) plus or minus 1, with preference given to -1 when possible. The digit 0 is not allowed.
1
1, 2, 11, 21, 22, 12, 13, 23, 24, 3, 25, 4, 31, 26, 5, 41, 27, 6, 51, 28, 7, 61, 29, 8, 71, 211, 212, 14, 32, 15, 42, 16, 52, 17, 62, 18, 72, 19, 81, 213, 214, 33, 215, 43, 216, 53, 217, 63, 218, 73, 219, 82, 111, 221, 222, 112, 113, 223, 224, 34, 35, 44, 36, 54
OFFSET
1,2
COMMENTS
If a(n-1) ends in 1, a(n) must begin with 2 (i.e., a forced increase by 1).
There are no numbers in the sequence with first digit 9.
EXAMPLE
11 is followed by 21 in the sequence since it can't be followed by a number starting with 0.
CROSSREFS
Cf. A288946.
Sequence in context: A336034 A081242 A071762 * A343450 A245500 A342945
KEYWORD
nonn,base
AUTHOR
Enrique Navarrete, Jun 19 2017
STATUS
approved