Triangle read by rows: T(n,k) is the number of weighted lattice paths B(n) having k uHd strings.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =16a(6) =1a(7) =35a(8) =2a(9) =77a(10) =5a(11) =172a(12) =13a(13) =391a(14) =32a(15) =899a(16) =78a(17) =1a(18) =2085a(19) =195a(20) =3a(21) =4877a(22) =487a(23) =9a(24) =11490a(25) =1217a(26) =28a(27) =27236a(28) =3055a(29) =81