A366946 Lexicographically earliest sequence of distinct terms > 0 such that any digit d jumping to the right over d digits lands on a square digit.

1, 2, 4, 3, 9, 5, 6, 10, 11, 14, 19, 12, 13, 15, 40, 41, 7, 16, 17, 18, 44, 42, 8, 49, 90, 91, 20, 94, 21, 99, 43, 22, 100, 101, 24, 29, 30, 45, 46, 31, 34, 47, 48, 104, 92, 93, 109, 95, 39, 50, 110, 111, 114, 96, 23, 119, 140, 97, 51, 54, 98, 141, 59, 60, 144, 25, 149, 26, 190, 120, 191, 61, 194, 27, 199, 28

Offset

1,2

Comments

The square digits are 0, 1, 4 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..76.

Example

a(1) = 1 jumps over 1 digit  and lands on 4, a square digit;
a(2) = 2 jumps over 2 digits and lands on 9, a square digit;
a(5) = 9 jumps over 9 digits and lands on the 1 of 19, a square digit;
a(6) = 5 jumps over 5 digits and lands on the 1 of 14, a square digit;
a(8) = 10: the 1 of 10 jumps over 1 digit and lands on the first 1 of 11, a square digit;
a(8) = 10: the 0 of 10 jumps over 0 digit and lands on the same square digit; etc.

Crossrefs

Cf. A366838, A366943, A366944, A366945, A366947, A366948, A366949.

Sequence in context: A063379 A000463 A366260 * A358534 A137442 A350150

Adjacent sequences: A366943 A366944 A366945 * A366947 A366948 A366949

Keyword

base,nonn

Author

Eric Angelini and Giorgos Kalogeropoulos, Oct 29 2023

Status

approved