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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. 7

%I #8 Oct 29 2023 22:05:00

%S 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,

%T 31,32,24,33,26,35,27,38,50,29,40,34,51,52,53,36,55,37,39,58,54,41,80,

%U 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

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

%C 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.

%e a(1) = 1 jumps over 1 digit and lands on 3, a Fibonacci digit;

%e a(2) = 2 jumps over 2 digits and lands on 5, a Fibonacci digit;

%e a(4) = 4 jumps over 4 digits and lands on the 1 of 10, a Fibonacci digit;

%e a(9) = 10: the 1 of 10 jumps over 1 digit and lands on the first 1 of 11, a Fibonacci digit;

%e a(9) = 10: the 0 of 10 jumps over 0 digit and lands on the same Fibonacci digit; etc.

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

%K base,nonn

%O 1,2

%A _Eric Angelini_ and _Giorgos Kalogeropoulos_, Oct 29 2023

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Last modified May 17 12:26 EDT 2024. Contains 372600 sequences. (Running on oeis4.)