OFFSET
1,2
COMMENTS
These are strict knapsack partitions (A275972) organized by maximum rather than sum.
LINKS
Fausto A. C. Cariboni, Table of n, a(n) for n = 1..150
EXAMPLE
The a(1) = 1 through a(6) = 14 subsets:
{1} {2} {3} {4} {5} {6}
{1,2} {1,3} {1,4} {1,5} {1,6}
{2,3} {2,4} {2,5} {2,6}
{3,4} {3,5} {3,6}
{1,2,4} {4,5} {4,6}
{2,3,4} {1,2,5} {5,6}
{1,3,5} {1,2,6}
{2,4,5} {1,3,6}
{3,4,5} {1,4,6}
{2,3,6}
{2,5,6}
{3,4,6}
{3,5,6}
{4,5,6}
MATHEMATICA
Table[Length[Select[Subsets[Range[n]], MemberQ[#, n]&&UnsameQ@@Plus@@@Subsets[#]&]], {n, 10}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jun 01 2019
EXTENSIONS
a(18)-a(46) from Alois P. Heinz, Jun 03 2019
STATUS
approved