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A371766 Triangle read by rows: T(n, k) = A371898(n, k) / A371767(n, k).

%I A371766 #5 Apr 14 2024 11:51:59
%S A371766 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 A371766 16,1,1,1957,12336,9709,2521,311,22,1,1,13700,149989,157971,50045,
%U A371766 7186,575,29,1,1,109601,2113546,2993467,1158871,193765,17536,981,37,1
%N A371766 Triangle read by rows: T(n, k) = A371898(n, k) / A371767(n, k).
%e A371766 Triangle starts:
%e A371766   [0] 1;
%e A371766   [1] 1,     1;
%e A371766   [2] 1,     2,      1;
%e A371766   [3] 1,     5,      4,      1;
%e A371766   [4] 1,    16,     21,      7,     1;
%e A371766   [5] 1,    65,    142,     63,    11,    1;
%e A371766   [6] 1,   326,   1201,    709,   151,   16,   1;
%e A371766   [7] 1,  1957,  12336,   9709,  2521,  311,  22,  1;
%e A371766   [8] 1, 13700, 149989, 157971, 50045, 7186, 575, 29, 1;
%p A371766 A371766 := (n, k) -> local j; add((-1)^(k-j)*binomial(k, j)*hypergeom([1, -n],
%p A371766 [], -j), j = 0..k)/((k! * n!)/(n - k)!):
%p A371766 seq(print(seq(simplify(A371766(n, k)), k = 0..n)), n = 0..8);
%Y A371766 Antidiagonally read subtriangle of A181783.
%Y A371766 Cf. A371898, A371767.
%K A371766 nonn,tabl
%O A371766 0,5
%A A371766 _Peter Luschny_, Apr 14 2024