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A282664
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The larger term of the pair (a(n), a(n+1)) is always odd and the larger digit of any pair of adjacent digits is also odd.
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2
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0, 1, 3, 2, 5, 4, 7, 6, 9, 8, 91, 10, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31, 30, 33, 32, 35, 37, 39, 45, 47, 49, 51, 50, 53, 52, 55, 54, 57, 59, 67, 69, 71, 70, 73, 72, 75, 74, 77, 76, 79, 89, 93, 90, 95, 92, 97, 94, 99, 96, 701, 98, 901, 101, 103, 105, 107, 109, 111, 110, 113, 115, 117, 119, 131, 130, 133, 132, 301, 135, 137, 139
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OFFSET
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1,3
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COMMENTS
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The sequence is started with a(1) = 0 and always extended with the smallest integer not yet present and not leading to a contradiction.
If two successive digits are equal (e.g., 3,3) we accept that there is a "larger one" (3).
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LINKS
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EXAMPLE
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In the 1st pair of integers (0,1) the larger term is (1), which is odd;
in the 2nd pair of integers (1,3) the larger term is (3), which is odd;
in the 3rd pair of integers (3,2) the larger term is (3), which is odd;
in the 4th pair of integers (2,5) the larger term is (5), which is odd;
...
in the 9th pair of integers (9,8) the larger term is (9), which is odd;
in the 10th pair of integers (8,91) the larger term is (91), which is odd;
in the 11th pair of integers (91,10) the larger term is (91), which is odd; etc.
In the 1st pair of digits (0,1) the larger digit is (1), which is odd;
in the 2nd pair of digits (1,3) the larger digit is (3), which is odd;
in the 3rd pair of digits (3,2) the larger digit is (3), which is odd;
in the 4th pair of digits (2,5) the larger digit is (5), which is odd;
...
in the 9th pair of digits (9,8) the larger digit is (9), which is odd;
in the 10th pair of digits (8,9) the larger digit is (9), which is odd;
in the 11th pair of digits (9,1) the larger digit is (9), which is odd; etc.
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CROSSREFS
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Cf. A282665 (even rather than odd).
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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