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.

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.

Links

Table of n, a(n) for n=1..77.

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.

Crossrefs

Cf. A366838, A366943, A366944, A366945, A366946, A366947, A366948.

Sequence in context: A278511 A255552 A255551 * A332072 A330340 A328696

Adjacent sequences: A366946 A366947 A366948 * A366950 A366951 A366952

Keyword

base,nonn

Author

Eric Angelini and Giorgos Kalogeropoulos, Oct 29 2023

Status

approved