A366947 Lexicographically earliest sequence of distinct terms > 0 such that any digit d jumping to the right over d digits lands on a nonsquare digit.

1, 2, 3, 4, 5, 6, 7, 8, 20, 22, 23, 25, 26, 9, 21, 27, 12, 24, 28, 13, 29, 15, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 50, 52, 10, 51, 53, 11, 55, 54, 14, 56, 57, 58, 59, 60, 62, 61, 63, 16, 65, 17, 64, 66, 18, 67, 42, 68, 72, 73, 75, 43, 69, 76, 70, 77, 19, 78, 71, 82, 40, 83, 85, 45, 41, 46, 47, 48, 86

Offset

1,2

Comments

The nonsquare digits are 2, 3, 5, 6, 7 and 8. This is not a permutation of the natural numbers as 100 and 101 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 3, a nonsquare digit;
a(2) = 2 jumps over 2 digits and lands on 5, a nonsquare digit;
a(5) = 5 jumps over 5 digits and lands on the first 2 of 22, a nonsquare digit;
a(6) = 6 jumps over 6 digits and lands on the 2 of 23, a nonsquare digit;
a(9) = 20: the 2 of 20 jumps over 2 digits and lands on the last 2 of 22, a nonsquare digit;
a(9) = 20: the 0 of 20 jumps over 0 digit and lands on the first 2 of 22, a nonsquare digit; etc.

Crossrefs

Cf. A366838, A366943, A366944, A366945, A366946, A366948, A366949.

Sequence in context: A039127 A024650 A037343 * A366838 A236836 A387616

Adjacent sequences: A366944 A366945 A366946 * A366948 A366949 A366950

Keyword

base,nonn

Author

Eric Angelini and Giorgos Kalogeropoulos, Oct 29 2023

Status

approved