A330721 Lexicographically earliest sequence of positive terms such that for any n > 0 and k > 0, a(n+k^2) <> floor(k/a(n)).

1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 4, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 4, 3, 4, 2, 4, 2, 4, 3, 4, 3, 4, 2, 4, 2, 3, 2, 3, 2, 3, 4, 3, 4, 3, 4, 4, 4, 5, 3, 5, 3, 5, 3, 2, 3, 2, 3, 3, 3, 3, 5, 3, 5, 3, 5, 3, 5, 3, 2

Offset

1,2

Comments

This sequence is a variant of A330636.

Links

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

Rémy Sigrist, Scatterplot of the ordinal transform of the first 1000000 terms

Rémy Sigrist, C program for A330721

Example

The first terms, alongside the corresponding forbidden values, are:
  n   a(n)  k=1  k=2  k=3
  --  ----  ---  ---  ---
   1     1
   2     2    1
   3     1    0
   4     2    1
   5     1    0    2
   6     2    1    1
   7     1    0    2
   8     2    1    1
   9     1    0    2
  10     2    1    1    3
  11     3    0    2    1
  12     2    0    1    3

Prog

(C) See Links section.

Crossrefs

Cf. A330636.

Sequence in context: A303536 A259656 A096370 * A076622 A194513 A344018

Adjacent sequences: A330718 A330719 A330720 * A330722 A330723 A330724

Keyword

nonn

Author

Rémy Sigrist, Dec 28 2019

Status

approved