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.

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

Offset

1,2

Comments

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.

Links

Table of n, a(n) for n=1..78.

Example

a(1) = 1 jumps over 1 digit  and lands on 3, an odd digit;
a(2) = 2 jumps over 2 digits and lands on 5, an odd digit;
a(5) = 5 jumps over 5 digits and lands on the last 1 of 11, an odd digit;
a(5) = 6 jumps over 6 digits and lands on the 3 of 13, an odd digit;
a(10) = 11: the first 1 of 11 jumps over 1 digit and lands on the 1 of 13, an odd digit;
a(10) = 11: the last 1 of 11 jumps over 1 digit and lands on the 3 of 13, an odd digit; etc.

Crossrefs

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

Sequence in context: A088450 A279080 A108641 * A289351 A362038 A171550

Adjacent sequences: A366941 A366942 A366943 * A366945 A366946 A366947

Keyword

base,nonn

Author

Eric Angelini and Giorgos Kalogeropoulos, Oct 29 2023

Status

approved