The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A070259 Array f(m,n) read by antidiagonals: f(m,n) = minimal number of 0's in a 2m X 2n (0,1) matrix that contains no m X n submatrix of 1's (m >= 1, n >= 1). 1
4, 6, 6, 8, 7, 8, 10, 9, 9, 10, 12, 11, 10, 11, 12, 14, 13, 13, 13, 13, 14, 16, 15, 14, 13, 14, 15, 16, 18, 17, 16, 16, 16, 16, 17, 18, 20, 19, 18, 18, 16, 18, 18, 19, 20, 22, 21, 20, 19, 20, 20, 19, 20, 21, 22, 24, 23, 22, 21, 22, 19, 22, 21, 22, 23, 24, 26, 25, 24, 24, 24, 23 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
REFERENCES
J. R. Griggs and C.-C. Ho, On the half-case of the Zarankiewicz problem, Discrete Math., 249 (2002), 95-104.
LINKS
EXAMPLE
Comment from Hermann Jamke: Array begins:
4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, ...
6, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, ...
8, 9, 10, 13, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, ...
10, 11, 13, 13, 16, 18, 19, 21, 24, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, ...
12, 13, 14, 16, 16, 20, 22, 24, 24, 26, 29, 32, 32, 34, 36, 39, 40, 42, 44, 46, ...
14, 15, 16, 18, 20, 19, 23, 25, 27, 29, 29, 31, 34, 37, 39, 39, 41, 43, 46, 49, ...
16, 17, 18, 19, 22, 23, 22, 26, 29, 31, 33, 34, 34, 36, 40, 42, 45, 47, 46, 48, ...
18, 19, 20, 21, 24, 25, 26, ...
20, 21, 22, 24, 24, 27, 29, ...
22, 23, 24, 25, 26, 29, 31, ...
24, 25, 26, 27, 29, 29, 33, ...
26, 27, 28, 29, 32, 31, 34, ...
28, 29, 30, 31, 32, 34, 34, ...
30, 31, 32, 33, 34, 37, 36, ...
32, 33, 34, 35, 36, 39, 40, ...
34, 35, 36, 37, 39, 39, 42, ...
36, 37, 38, 39, 40, 41, 45, ...
38, 39, 40, 41, 42, 43, 47, ...
40, 41, 42, 43, 44, 46, 46, ...
42, 43, 44, 45, 46, 49, 48, ...
CROSSREFS
Cf. A070300.
Sequence in context: A200118 A254275 A074672 * A111653 A372786 A228363
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, May 15 2002
EXTENSIONS
Reference gives first 7 rows of the array.
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 30 2008
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 May 22 15:18 EDT 2024. Contains 372758 sequences. (Running on oeis4.)