T(n, k) = [x^n] 2^n*P(n, x), where P(n, x) = (1 + 4*x)^(n + 1) + (1 - 2^(-2*n-1))*(2 + 4*x)^(n + 1). Triangle read by rows, T(n, k) for 0 <= k <= n+1 if n >= 0 and by convention T(-1, 0) = 0.

A342317

T(n, k) = [x^n] 2^n*P(n, x), where P(n, x) = (1 + 4*x)^(n + 1) + (1 - 2^(-2*n-1))*(2 + 4*x)^(n + 1). Triangle read by rows, T(n, k) for 0 <= k <= n+1 if n >= 0 and by convention T(-1, 0) = 0.

Terms

    a(0) =0a(1) =2a(2) =6a(3) =9a(4) =44a(5) =60a(6) =35a(7) =234a(8) =564a(9) =504a(10) =135a(11) =1144a(12) =3816a(13) =6112a(14) =4080a(15) =527a(16) =5430a(17) =23000a(18) =51120a(19) =61360a(20) =32736a(21) =2079a(22) =25332a(23) =130500a(24) =368480a(25) =614160a(26) =589632a(27) =262080a(28) =8255a(29) =116466

External references