Number of distinct partitions of triangular numbers n*(n+1)/2.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =10a(5) =27a(6) =76a(7) =222a(8) =668a(9) =2048a(10) =6378a(11) =20132a(12) =64234a(13) =206848a(14) =671418a(15) =2194432a(16) =7215644a(17) =23853318a(18) =79229676a(19) =264288462a(20) =884987529a(21) =2973772212a(22) =10024300890a(23) =33888946600a(24) =114872472064a(25) =390334057172