An eight-products triangle sequence of coefficients: T(n,k) = binomial(n,k) * Product_{j=1..7} j!*(n+j)!/((k+j)!*(n-k+j)!).

A142468

An eight-products triangle sequence of coefficients: T(n,k) = binomial(n,k) * Product_{j=1..7} j!*(n+j)!/((k+j)!*(n-k+j)!).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =9a(5) =1a(6) =1a(7) =45a(8) =45a(9) =1a(10) =1a(11) =165a(12) =825a(13) =165a(14) =1a(15) =1a(16) =495a(17) =9075a(18) =9075a(19) =495a(20) =1a(21) =1a(22) =1287a(23) =70785a(24) =259545a(25) =70785a(26) =1287a(27) =1a(28) =1a(29) =3003

External references