OFFSET
2,1
COMMENTS
See McAvaney et al. for definition of Ramsey partition: If k1 and k2 are positive integers, the partition P = (p1,p2,...,pn) of k1+k2 is said to be a Ramsey partition for the pair k1, k2 if for any sublist L of P, either there is a sublist of L which sums to k1 or a sublist of P -L which sums to k2.
LINKS
Kevin McAvaney, Jack Robertson, and William Webb, Ramsey partitions of integers and fair divisions, Combinatorica 12, pp. 193-201 (1992).
EXAMPLE
Triangle begins:
3;
2, 5;
4, 3, 11;
3, 4, 5, 14;
5, 7, 11, 7, 31;
4, 5, 8, 10, 11, 34;
6, 6, 19, 11, 24, 15, 69;
5, 9, 11, 12, 25, 22, 22, 82;
7, 7, 20, 21, 33, 23, 49, 30, 139;
...
CROSSREFS
KEYWORD
AUTHOR
N. J. A. Sloane, Oct 01 2017
STATUS
approved