A363586 a(n) is the number of mappings X:{{1..n} choose 3}->{+,-} such that X(a,b,c) = X(b,c,d) implies X(a,b,c) = X(a,b,d) = X(a,c,d) = X(b,c,d) for a < b < c < d.

2, 10, 120, 3284, 199724, 26680618, 7782067930, 4936744315756

Offset

3,1

Links

Table of n, a(n) for n=3..10.

M. Balko, Ramsey numbers and monotone colorings, Journal of Combinatorial Theory, Series A, Volume 163 (2019), 34-58.

Crossrefs

Sequence in context: A265942 A120597 A322295 * A391973 A256832 A060690

Adjacent sequences: A363583 A363584 A363585 * A363587 A363588 A363589

Keyword

nonn,more

Author

Manfred Scheucher, Jun 13 2023

Extensions

a(9)-a(10) from Bert Dobbelaere, Jun 26 2023

Status

approved