Triangle of partial sums of Catalan numbers.

Terms

a(0) =1a(1) =2a(2) =1a(3) =4a(4) =3a(5) =2a(6) =9a(7) =8a(8) =7a(9) =5a(10) =23a(11) =22a(12) =21a(13) =19a(14) =14a(15) =65a(16) =64a(17) =63a(18) =61a(19) =56a(20) =42a(21) =197a(22) =196a(23) =195a(24) =193a(25) =188a(26) =174a(27) =132a(28) =626a(29) =625