Antidiagonal sums of triangle of Stirling numbers of 2nd kind A048993.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =2a(5) =4a(6) =9a(7) =22a(8) =58a(9) =164a(10) =495a(11) =1587a(12) =5379a(13) =19195a(14) =71872a(15) =281571a(16) =1151338a(17) =4902687a(18) =21696505a(19) =99598840a(20) =473466698a(21) =2327173489a(22) =11810472444a(23) =61808852380a(24) =333170844940