A307664 -id:A307664 - cp's OEIS frontend

A307667 Lexicographically earliest sequence of positive terms, such that each value, say v, appears four times at indices k, k + v, k + 2v and k + 3v for some k.

1, 1, 1, 1, 2, 4, 2, 7, 2, 4, 2, 8, 6, 4, 7, 11, 9, 4, 6, 8, 12, 7, 14, 15, 6, 9, 11, 8, 7, 10, 6, 16, 12, 18, 9, 8, 14, 11, 15, 10, 17, 13, 20, 9, 12, 25, 19, 16, 11, 10, 14, 18, 3, 15, 13, 3, 12, 17, 3, 10, 23, 3, 20, 16, 14, 19, 5, 13, 15, 18, 25, 5, 21, 24

Offset: 1

Rémy Sigrist, Apr 20 2019

nonn

This sequence is a variant of A307664.
Graphically, we have four wavy lines.
Apparently every positive integer appears in the sequence.

			For n = 1:
- we can set a(1) = a(2) = a(3) = a(4) = 1.
For n = 5:
- we can set a(5) = a(7) = a(9) = a(11) = 2.
For n = 6:
- a(9) is already known, hence a(6) <> 3,
- we can set a(6) = a(10) = a(14) = a(18) = 4.

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 A307667

Cf. A026242, A307664.

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

Original entry on oeis.org

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

Rémy Sigrist, Apr 20 2019

nonn

This sequence is a variant of A307664.
Graphically, we have five chaotic lines.
Apparently every positive integer appears in the sequence.

			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.

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

Cf. A026242, A307664.

PARI
```
See Links section.
```

cp's OEIS Frontend

A307667 Lexicographically earliest sequence of positive terms, such that each value, say v, appears four times at indices k, k + v, k + 2v and k + 3v for some k.

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

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cp's OEIS Frontend

A307667 Lexicographically earliest sequence of positive terms, such that each value, say v, appears four times at indices k, k + v, k + 2*v and k + 3*v for some k.

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PARI

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.

Views

Author

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PARI

A307667 Lexicographically earliest sequence of positive terms, such that each value, say v, appears four times at indices k, k + v, k + 2v and k + 3v for some k.

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