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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

%I #5 Oct 29 2023 22:04:15

%S 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,

%T 32,34,36,38,51,53,50,55,52,54,57,56,58,59,71,73,70,75,77,72,79,74,91,

%U 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

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

%C 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.

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

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

%e a(5) = 5 jumps over 5 digits and lands on the last 1 of 11, an odd digit;

%e a(5) = 6 jumps over 6 digits and lands on the 3 of 13, an odd digit;

%e a(10) = 11: the first 1 of 11 jumps over 1 digit and lands on the 1 of 13, an odd digit;

%e a(10) = 11: the last 1 of 11 jumps over 1 digit and lands on the 3 of 13, an odd digit; etc.

%Y Cf. A366838, A366943, A366945, A366946, A366947, A366948, A366949.

%K base,nonn

%O 1,2

%A _Eric Angelini_ and _Giorgos Kalogeropoulos_, Oct 29 2023

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Last modified July 15 14:07 EDT 2024. Contains 374332 sequences. (Running on oeis4.)