T(n, k) = [x^k] n! [t^n] 1/(exp((V*(2 - 2*t + V))/(4*t))*sqrt(1 + V)) where V = W(-2*t*x) and W denotes the Lambert function. Table read by rows, T(n, k) for 0 <= k <= n.

A343807

T(n, k) = [x^k] n! [t^n] 1/(exp((V*(2 - 2*t + V))/(4*t))*sqrt(1 + V)) where V = W(-2*t*x) and W denotes the Lambert function. Table read by rows, T(n, k) for 0 <= k <= n.

Terms

    a(0) =1a(1) =1a(2) =0a(3) =1a(4) =2a(5) =2a(6) =1a(7) =6a(8) =18a(9) =32a(10) =1a(11) =12a(12) =72a(13) =280a(14) =636a(15) =1a(16) =20a(17) =200a(18) =1320a(19) =6060a(20) =15744a(21) =1a(22) =30a(23) =450a(24) =4480a(25) =32460a(26) =166536a(27) =470680a(28) =1a(29) =42

External references