A006619 Zarankiewicz's problem. (Formerly M4485)

8, 13, 18, 24, 31, 38, 46, 55

Offset

2,1

Comments

a(n) is the least k such that every n X (n+2) {0,1}-matrix with k ones contains an all ones 2 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).

Links

Table of n, a(n) for n=2..9.

R. K. Guy, A problem of Zarankiewicz, Research Paper No. 12, Dept. of Math., Univ. Calgary, Jan. 1967. [Annotated and scanned copy, with permission]

R. K. Guy, A many-facetted problem of Zarankiewicz, Lect. Notes Math. 110 (1969), 129-148.

Crossrefs

Sequence in context: A095097 A187227 A224251 * A023487 A045636 A214723

Adjacent sequences: A006616 A006617 A006618 * A006620 A006621 A006622

Keyword

nonn,more

Author

N. J. A. Sloane

Status

approved