cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-6 of 6 results.

A006626 Zarankiewicz's problem k_4(n,n+1).

Original entry on oeis.org

19, 27, 37, 46, 56, 68, 80, 94, 109
Offset: 4

Views

Author

Keywords

Comments

a(n) is the least k such that every n X (n+1) {0,1}-matrix with k ones contains an all ones 4 X 4 submatrix. - Sean A. Irvine, May 18 2017

References

  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Crossrefs

Cf. A006616 (k_4(n)), A006620 (k_2(n,n+1)), A006621 (k_3(n,n+1)).

Extensions

a(9)-a(12) from Andrew Howroyd, Dec 26 2021

A006621 Zarankiewicz's problem k_3(n,n+1).

Original entry on oeis.org

11, 17, 23, 30, 38, 46, 55, 65, 75, 87
Offset: 3

Views

Author

Keywords

Comments

a(n) is the least k such that every n X (n+1) {0,1}-matrix with k ones contains an all ones 3 X 3 submatrix. - Sean A. Irvine, May 18 2017

References

  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Crossrefs

Cf. A001198 (k_3(n)), A006620 (k_2(n,n+1)), A006626 (k_4(n,n+1)).

Extensions

a(10)-a(12) from Andrew Howroyd, Dec 26 2021

A006614 A variant of Zarankiewicz's problem: a(n) is the least k such that every n X n {0,1}-matrix with k ones contains an all-ones 2 X 4 submatrix.

Original entry on oeis.org

14, 21, 26, 32, 41, 48, 56, 67
Offset: 4

Views

Author

Keywords

References

  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Crossrefs

Extensions

Name updated at the suggestion of Sean A. Irvine by Max Alekseyev, Feb 02 2024

A006615 A variant of Zarankiewicz's problem: a(n) is the least k such that every n X n {0,1}-matrix with k ones contains an all-ones 3 X 4 submatrix.

Original entry on oeis.org

15, 22, 31, 38, 46, 57
Offset: 4

Views

Author

Keywords

References

  • R. K. Guy, A many-facetted problem of Zarankiewicz, Lect. Notes Math. 110 (1969), 129-148.
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Crossrefs

Extensions

Name changed at the suggestion of Sean A. Irvine and a(9) added by Max Alekseyev, Feb 02 2024

A006622 A variant of Zarankiewicz's problem: a(n) is the least k such that every n X (n+1) {0,1}-matrix with k ones contains an all-ones 3 X 4 submatrix.

Original entry on oeis.org

12, 18, 26, 33, 41, 51
Offset: 3

Views

Author

Keywords

References

  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Crossrefs

Extensions

Name edited at the suggestion of Sean A. Irvine and a(8) added by Max Alekseyev, Feb 02 2024

A006625 A variant of Zarankiewicz's problem: a(n) is the least k such that every n X (n+2) {0,1}-matrix with k ones contains an all-ones 3 X 4 submatrix.

Original entry on oeis.org

14, 21, 28, 36, 45, 55
Offset: 3

Views

Author

Keywords

References

  • R. K. Guy, A many-facetted problem of Zarankiewicz, Lect. Notes Math. 110 (1969), 129-148.
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Crossrefs

Extensions

Name changed at the suggestion of Sean A. Irvine and a(8) added by Max Alekseyev, Feb 02 2024
Showing 1-6 of 6 results.