OFFSET
0,12
COMMENTS
Antidiagonal sums of A379671, starting with 0.
The only zeros are a(0) and a(3).
EXAMPLE
The a(n) sets for n = 2, 11, 20, 35, 47, 60:
{1} {1,5} {10} {3,8} {5,7} {30}
{2,3} {2,6} {1,17} {1,23} {1,5,9}
{1,3,4} {2,11} {2,15} {2,4,6}
{1,4,6} {3,11} {1,2,19}
{2,3,6} {1,3,14}
{1,4,11}
MATHEMATICA
Table[Length[Select[Join@@Array[IntegerPartitions, n, 0], UnsameQ@@#&&Total[#]+Times@@#==n&]], {n, 0, 30}]
CROSSREFS
Arrays counting multisets by sum and product:
Counting and ranking multisets by comparing sum and product:
A318950 counts factorizations by sum.
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jan 03 2025
EXTENSIONS
More terms from Jinyuan Wang, Jan 11 2025
STATUS
approved