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A366949
Lexicographically earliest sequence of distinct terms > 0 such that any digit d jumping to the right over d digits lands on a non-Fibonacci digit.
7
1, 2, 4, 3, 6, 5, 7, 9, 8, 10, 40, 44, 14, 46, 41, 47, 16, 49, 11, 64, 42, 12, 66, 43, 13, 67, 69, 15, 74, 17, 76, 77, 45, 19, 79, 94, 18, 48, 96, 24, 97, 60, 61, 99, 26, 440, 62, 444, 20, 446, 21, 441, 27, 442, 22, 447, 23, 443, 63, 445, 65, 448, 68, 449, 25, 460, 70, 71, 461, 29, 462, 72, 73, 464, 466, 467, 28
OFFSET
1,2
COMMENTS
The non-Fibonacci digits are 4, 6, 7 and 9. This is not a permutation of the natural numbers as 100 and 101 cannot be part of the sequence, for instance.
EXAMPLE
a(1) = 1 jumps over 1 digit and lands on 4, a non-Fibonacci digit;
a(2) = 2 jumps over 2 digits and lands on 6, a non-Fibonacci digit;
a(5) = 6 jumps over 6 digits and lands on the 4 of 40, a non-Fibonacci digit;
a(6) = 5 jumps over 5 digits and lands on the same non-Fibonacci digit;
a(11) = 40: the 4 of 40 jumps over 4 digits and lands on the 4 of 14, a non-Fibonacci digit;
a(11) = 40: the 0 of 40 jumps over 0 digit and lands on the first 4 of 44, a non-Fibonacci digit; etc.
KEYWORD
base,nonn
AUTHOR
STATUS
approved