A371766 - OEIS

%I #5 Apr 14 2024 11:51:59

%S 1,1,1,1,2,1,1,5,4,1,1,16,21,7,1,1,65,142,63,11,1,1,326,1201,709,151,

%T 16,1,1,1957,12336,9709,2521,311,22,1,1,13700,149989,157971,50045,

%U 7186,575,29,1,1,109601,2113546,2993467,1158871,193765,17536,981,37,1

%N Triangle read by rows: T(n, k) = A371898(n, k) / A371767(n, k).

%e Triangle starts:

%e   [0] 1;

%e   [1] 1,     1;

%e   [2] 1,     2,      1;

%e   [3] 1,     5,      4,      1;

%e   [4] 1,    16,     21,      7,     1;

%e   [5] 1,    65,    142,     63,    11,    1;

%e   [6] 1,   326,   1201,    709,   151,   16,   1;

%e   [7] 1,  1957,  12336,   9709,  2521,  311,  22,  1;

%e   [8] 1, 13700, 149989, 157971, 50045, 7186, 575, 29, 1;

%p A371766 := (n, k) -> local j; add((-1)^(k-j)*binomial(k, j)*hypergeom([1, -n],

%p [], -j), j = 0..k)/((k! * n!)/(n - k)!):

%p seq(print(seq(simplify(A371766(n, k)), k = 0..n)), n = 0..8);

%Y Antidiagonally read subtriangle of A181783.

%Y Cf. A371898, A371767.

%K nonn,tabl

%O 0,5

%A _Peter Luschny_, Apr 14 2024