login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A330721 Lexicographically earliest sequence of positive terms such that for any n > 0 and k > 0, a(n+k^2) <> floor(k/a(n)). 2
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 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 1 14:40 EST 2023. Contains 359993 sequences. (Running on oeis4.)