Triangle T(n,k) (n >= k >= 0) read by rows: T(n,0) = (1+(-1)^n)/2; for k>=1, set T(0,k) = 0, S(n,k) = binomial(n,k)*binomial(n+k+1,k), and for n>=1, T(n,k) = S(n,k)-T(n-1,k).
A331432
Triangle T(n,k) (n >= k >= 0) read by rows: T(n,0) = (1+(-1)^n)/2; for k>=1, set T(0,k) = 0, S(n,k) = binomial(n,k)*binomial(n+k+1,k), and for n>=1, T(n,k) = S(n,k)-T(n-1,k).
Terms
- a(0) =1a(1) =0a(2) =3a(3) =1a(4) =5a(5) =10a(6) =0a(7) =10a(8) =35a(9) =35a(10) =1a(11) =14a(12) =91a(13) =189a(14) =126a(15) =0a(16) =21a(17) =189a(18) =651a(19) =924a(20) =462a(21) =1a(22) =27a(23) =351a(24) =1749a(25) =4026a(26) =4290a(27) =1716a(28) =0a(29) =36
External references
- oeis: A331432