Triangle read by rows: T(n,m) = C[n,m,m] where C[i,j,k] is the 3-dimensional Catalan pyramid defined by C[0,0,0]=1 and C[i,j,k]=0 if j>i or k>j and C[i,j,k]=C[i-1,j,k]+C[i,j-1,k]+C[i,j,k-1].
A065077
Triangle read by rows: T(n,m) = C[n,m,m] where C[i,j,k] is the 3-dimensional Catalan pyramid defined by C[0,0,0]=1 and C[i,j,k]=0 if j>i or k>j and C[i,j,k]=C[i-1,j,k]+C[i,j-1,k]+C[i,j,k-1].
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =5a(6) =1a(7) =6a(8) =21a(9) =42a(10) =1a(11) =10a(12) =56a(13) =210a(14) =462a(15) =1a(16) =15a(17) =120a(18) =660a(19) =2574a(20) =6006a(21) =1a(22) =21a(23) =225a(24) =1650a(25) =9009a(26) =36036a(27) =87516a(28) =1a(29) =28
External references
- oeis: A065077