a(n) = least number in row n of Pascal's triangle that exceeds every number in row n-1.

Terms

a(0) =2a(1) =3a(2) =4a(3) =10a(4) =15a(5) =21a(6) =56a(7) =84a(8) =210a(9) =330a(10) =495a(11) =1287a(12) =2002a(13) =5005a(14) =8008a(15) =19448a(16) =31824a(17) =50388a(18) =125970a(19) =203490a(20) =497420a(21) =817190a(22) =1961256a(23) =3268760a(24) =5311735a(25) =13037895a(26) =21474180a(27) =51895935a(28) =86493225a(29) =206253075