A307669 Lexicographically earliest sequence of positive terms, such that each value, say v, appears five times at indices k, k + v, k + 2*v, k + 3*v and k + 4*v for some k.

1, 1, 1, 1, 1, 2, 4, 2, 8, 2, 4, 2, 9, 2, 4, 10, 8, 3, 4, 14, 3, 9, 4, 3, 8, 10, 3, 11, 13, 3, 9, 19, 8, 14, 12, 10, 15, 20, 11, 9, 8, 13, 17, 21, 24, 10, 12, 14, 9, 11, 19, 15, 26, 30, 13, 10, 23, 20, 12, 17, 11, 14, 25, 28, 21, 29, 15, 13, 24, 19, 12, 11, 18

Offset

1,6

Comments

This sequence is a variant of A307664.

Graphically, we have five chaotic lines.

Apparently every positive integer appears in the sequence.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, Colored scatterplot of the first 250000 terms (where the color is based on the ordinal transform of the sequence)

Rémy Sigrist, PARI program for A307669

Example

For n = 1:
- we can set a(1) = a(2) = a(3) = a(4) = a(5) = 1.
For n = 6:
- we can set a(6) = a(8) = a(10) = a(12) = a(14) = 2.
For n = 7:
- a(10) is already known, hence a(7) <> 3,
- we can set a(7) = a(11) = a(15) = a(19) = a(23) = 4.

Prog

(PARI) See Links section.

Crossrefs

Cf. A026242, A307664.

Sequence in context: A296092 A259111 A209675 * A171977 A266073 A059866

Adjacent sequences: A307666 A307667 A307668 * A307670 A307671 A307672

Keyword

nonn

Author

Rémy Sigrist, Apr 20 2019

Status

approved