A triangular array of numbers related to factorization and number of parts in Murasaki diagrams.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =1a(6) =5a(7) =5a(8) =4a(9) =1a(10) =15a(11) =15a(12) =14a(13) =7a(14) =1a(15) =52a(16) =52a(17) =51a(18) =36a(19) =11a(20) =1a(21) =203a(22) =203a(23) =202a(24) =171a(25) =81a(26) =16a(27) =1a(28) =877a(29) =877