A366943 Lexicographically earliest sequence of distinct terms > 0 such that any digit d jumping to the right over d digits lands on a nonprime digit.

1, 2, 4, 3, 6, 5, 7, 8, 9, 10, 11, 14, 16, 18, 12, 13, 15, 19, 17, 40, 41, 20, 44, 21, 24, 46, 22, 48, 42, 49, 60, 61, 64, 26, 28, 66, 23, 68, 29, 69, 30, 43, 80, 81, 31, 34, 84, 86, 45, 47, 36, 88, 62, 38, 63, 89, 90, 91, 94, 39, 50, 65, 67, 82, 51, 96, 54, 98, 25, 99, 83, 56, 100, 101, 104, 27, 58, 85, 32

Offset

1,2

Comments

Nonprime digits are 0, 1, 4, 6, 8 and 9. This is not a permutation of the natural numbers as 102 and 103 cannot be part of the sequence, for instance.

Links

Table of n, a(n) for n=1..79.

Example

a(1) = 1 jumps over 1 digit  and lands on 4, a nonprime digit;
a(2) = 2 jumps over 2 digits and lands on 6, a nonprime digit;
a(5) = 6 jumps over 6 digits and lands on the first 1 of 11, a nonprime digit;
a(6) = 5 jumps over 5 digits and lands on the same nonprime digit;
a(10) = 10: the 1 of 10 jumps over 1 digit and lands on the same nonprime digit;
a(10) = 10: the 0 of 10 jumps over 0 digit and lands on the same nonprime digit;
a(11) = 11: the first 1 of 11 jumps over 1 digit and lands on the 1 of 14, a nonprime digit;
a(11) = 11: the  last 1 of 11 jumps over 1 digit and lands on the 4 of 14, a nonprime digit; etc.

Crossrefs

Cf. A366838, A366944, A366945, A366946, A366947, A366948, A366949.

Sequence in context: A182732 A119477 A161920 * A366945 A278512 A278511

Adjacent sequences: A366940 A366941 A366942 * A366944 A366945 A366946

Keyword

base,nonn

Author

Eric Angelini and Giorgos Kalogeropoulos, Oct 29 2023

Status

approved