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Zarankiewicz's problem.
(Formerly M4484)
10

%I M4484 #15 Dec 26 2021 21:51:21

%S 8,13,17,22,29,34,40,47,56

%N Zarankiewicz's problem.

%C a(n) is the least k such that every n X n {0,1}-matrix with k ones contains an all ones 2 X 3 submatrix. - _Sean A. Irvine_, May 16 2017

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

%H R. K. Guy, <a href="/A001197/a001197.pdf">A problem of Zarankiewicz</a>, Research Paper No. 12, Dept. of Math., Univ. Calgary, Jan. 1967. [Annotated and scanned copy, with permission]

%H R. K. Guy, <a href="http://dx.doi.org/10.1007/BFb0060112">A many-facetted problem of Zarankiewicz</a>, Lect. Notes Math. 110 (1969), 129-148.

%K nonn,more

%O 3,1

%A _N. J. A. Sloane_