T(n,k) = denominator of 2*Pi*Sum_{j=0..n-k-1} ((-1)^j*n*(k + j + 2)*(n + k +j)!*(k + j)!^2)/((n - k - j - 1)!*(2*k + j + 1)!*j!*Gamma(k + j + 3/2)*Gamma(k + j + 5/2)), triangle read by rows (n >= 1, 0 <= k <= n - 1).
A159983
T(n,k) = denominator of 2*Pi*Sum_{j=0..n-k-1} ((-1)^j*n*(k + j + 2)*(n + k +j)!*(k + j)!^2)/((n - k - j - 1)!*(2*k + j + 1)!*j!*Gamma(k + j + 3/2)*Gamma(k + j + 5/2)), triangle read by rows (n >= 1, 0 <= k <= n - 1).
Terms
- a(0) =3a(1) =15a(2) =15a(3) =105a(4) =21a(5) =525a(6) =45a(7) =35a(8) =1575a(9) =2205a(10) =3465a(11) =3465a(12) =24255a(13) =3465a(14) =72765a(15) =45045a(16) =45045a(17) =1576575a(18) =85995a(19) =945945a(20) =297297a(21) =9009a(22) =45045a(23) =675675a(24) =45045a(25) =1486485a(26) =495495a(27) =19324305a(28) =765765a(29) =765765
External references
- oeis: A159983