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A366944
Lexicographically earliest sequence of distinct terms > 0 such that any digit d jumping to the right over d digits lands on an odd digit.
7
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 17, 19, 31, 21, 33, 10, 35, 12, 14, 37, 16, 18, 30, 39, 32, 34, 36, 38, 51, 53, 50, 55, 52, 54, 57, 56, 58, 59, 71, 73, 70, 75, 77, 72, 79, 74, 91, 93, 76, 95, 20, 97, 99, 22, 111, 113, 115, 78, 23, 25, 27, 117, 90, 92, 94, 119, 131, 133, 24, 135, 29, 137, 96, 98, 26, 139
OFFSET
1,2
COMMENTS
The odd digits are 1, 3, 5, 7 and 9. This is not a permutation of the natural numbers as 100 and 102 cannot be part of the sequence, for instance.
EXAMPLE
a(1) = 1 jumps over 1 digit and lands on 3, an odd digit;
a(2) = 2 jumps over 2 digits and lands on 5, an odd digit;
a(5) = 5 jumps over 5 digits and lands on the last 1 of 11, an odd digit;
a(5) = 6 jumps over 6 digits and lands on the 3 of 13, an odd digit;
a(10) = 11: the first 1 of 11 jumps over 1 digit and lands on the 1 of 13, an odd digit;
a(10) = 11: the last 1 of 11 jumps over 1 digit and lands on the 3 of 13, an odd digit; etc.
KEYWORD
base,nonn
AUTHOR
STATUS
approved