Number of distinct partitions of n-th triangular number which can be obtained by merging parts in the partition 1+2+...+n.

A066723

Number of distinct partitions of n-th triangular number which can be obtained by merging parts in the partition 1+2+...+n.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =13a(5) =36a(6) =109a(7) =340a(8) =1116a(9) =3744a(10) =12981a(11) =45722a(12) =165247a(13) =603242a(14) =2242932a(15) =8422438a(16) =32040585a(17) =122800802a(18) =475937009

External references