

A059442


Array of Ramsey numbers R(n,k) read by antidiagonals.


3



2, 3, 3, 4, 6, 4, 5, 9, 9, 5, 6, 14, 18, 14, 6, 7, 18, 25, 25, 18, 7, 8, 23
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OFFSET

0,1


REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 288.
H. J. Ryser, Combinatorial Mathematics, Chapter 4  A Theorem of Ramsey, Mathematical Association of America, Carus Mathematical Monograph 14, 1963, p. 42.


LINKS

Table of n, a(n) for n=0..22.
J. G. Kalbfleisch, Construction of special edgechromatic graphs, Canad. Math. Bull., 8 (1965), 575584.
Stanislaw Radziszowski, Small Ramsey Numbers (survey).
Eric Weisstein's World of Mathematics, Ramsey Number
Wikipedia, Ramsey's theorem
Jin Xu and C. K. Wong, Selfcomplementary graphs and Ramsey numbers I, Discrete Math., 223 (2000), 309326.


EXAMPLE

Array R(n,k), n >= 2, k >= 2, begins:
2, 3, 4, 5, 6, 7, 8, 9, 10,
3, 6, 9, 14, 18, 23, 28, 36,
4, 9, 18, 25, ?, ?, ?,
5, 14, 25, ?, ?, ?,
6, 18, ?, ?, ?,
7, 23, ?, ?,
8, 28, ?,
9, 36,
10,


CROSSREFS

Second row gives A000791.
Sequence in context: A031501 A279417 A203996 * A225273 A014410 A180986
Adjacent sequences: A059439 A059440 A059441 * A059443 A059444 A059445


KEYWORD

nonn,tabl,nice,hard


AUTHOR

N. J. A. Sloane, Feb 01 2001


EXTENSIONS

Next entry is in range 3541.
More terms in example section (antidiagonals 610. Cf. A000791) from Omar E. Pol, Jun 11 2012


STATUS

approved



