Array A(n, k) = (1/2)*(2*n+1)!!*(2*k+1)!!*Integral_{x=-1..1} (1-x^(n+1))*(1-x^(k+1))/(1-x)^2 dx, read by antidiagonals.
A157050
Array A(n, k) = (1/2)*(2*n+1)!!*(2*k+1)!!*Integral_{x=-1..1} (1-x^(n+1))*(1-x^(k+1))/(1-x)^2 dx, read by antidiagonals.
Terms
- a(0) =1a(1) =3a(2) =3a(3) =20a(4) =12a(5) =20a(6) =140a(7) =75a(8) =75a(9) =140a(10) =1449a(11) =588a(12) =495a(13) =588a(14) =1449a(15) =15939a(16) =5859a(17) =3780a(18) =3780a(19) =5859a(20) =15939a(21) =226512a(22) =68904a(23) =38880a(24) =30240a(25) =38880a(26) =68904a(27) =226512a(28) =3397680a(29) =953667
External references
- oeis: A157050