T(n, k) = Sum_{j=0..k} (-1)^j*binomial(2*k, j)*(k - j)^(2*n)/(k!)^2, triangle read by rows, n >= 0 and 0 <= k <= n.

A304336

T(n, k) = Sum_{j=0..k} (-1)^j*binomial(2*k, j)*(k - j)^(2*n)/(k!)^2, triangle read by rows, n >= 0 and 0 <= k <= n.

Terms

    a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =3a(6) =0a(7) =1a(8) =15a(9) =10a(10) =0a(11) =1a(12) =63a(13) =140a(14) =35a(15) =0a(16) =1a(17) =255a(18) =1470a(19) =1050a(20) =126a(21) =0a(22) =1a(23) =1023a(24) =14080a(25) =21945a(26) =6930a(27) =462a(28) =0a(29) =1

External references