A366948 Lexicographically earliest sequence of distinct terms > 0 such that any digit d jumping to the right over d digits lands on a Fibonacci digit.

1, 2, 3, 4, 5, 6, 8, 7, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 9, 22, 23, 25, 28, 30, 31, 32, 24, 33, 26, 35, 27, 38, 50, 29, 40, 34, 51, 52, 53, 36, 55, 37, 39, 58, 54, 41, 80, 81, 82, 42, 83, 85, 43, 44, 45, 48, 88, 60, 56, 46, 100, 101, 102, 47, 57, 61, 62, 103, 59, 105, 63, 49, 65, 108, 64

Offset

1,2

Comments

The Fibonacci digits are 0, 1, 2, 3, 5 and 8. This is not a permutation of the natural numbers as 104 and 106 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 3, a Fibonacci digit;
a(2) = 2 jumps over 2 digits and lands on 5, a Fibonacci digit;
a(4) = 4 jumps over 4 digits and lands on the 1 of 10, a Fibonacci digit;
a(9) = 10: the 1 of 10 jumps over 1 digit and lands on the first 1 of 11, a Fibonacci digit;
a(9) = 10: the 0 of 10 jumps over 0 digit and lands on the same Fibonacci digit; etc.

Crossrefs

Cf. A366838, A366943, A366944, A366945, A366946, A366947, A366949.

Sequence in context: A114622 A125624 A262388 * A297440 A362134 A232895

Adjacent sequences: A366945 A366946 A366947 * A366949 A366950 A366951

Keyword

base,nonn

Author

Eric Angelini and Giorgos Kalogeropoulos, Oct 29 2023

Status

approved