Triangle T(n,k) read by rows: number of lattice paths from (0,0) to (0,2n) with steps (1,1) or (1,-1) that stay between the lines y=0 and y=k.

A101475

Triangle T(n,k) read by rows: number of lattice paths from (0,0) to (0,2n) with steps (1,1) or (1,-1) that stay between the lines y=0 and y=k.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =6a(6) =10a(7) =15a(8) =19a(9) =20a(10) =35a(11) =50a(12) =63a(13) =69a(14) =70a(15) =126a(16) =176a(17) =217a(18) =243a(19) =251a(20) =252a(21) =462a(22) =638a(23) =770a(24) =870a(25) =913a(26) =923a(27) =924a(28) =1716a(29) =2354

External references