%I #12 Jul 30 2023 17:44:00
%S 1,0,1,0,1,3,0,1,7,13,0,1,13,49,73,0,1,21,141,381,501,0,1,31,331,1531,
%T 3331,4051,0,1,43,673,4873,17473,32593,37633,0,1,57,1233,12993,71793,
%U 212913,354033,394353,0,1,73,2089,30313,241993,1088713,2782153,4233673,4596553
%N Triangle read by rows, T(n, k) = A000262(n) - A349776(n, n - k) for n > 0 and T(0, 0) = 1.
%e [0] 1;
%e [1] 0, 1;
%e [2] 0, 1, 3;
%e [3] 0, 1, 7, 13;
%e [4] 0, 1, 13, 49, 73;
%e [5] 0, 1, 21, 141, 381, 501;
%e [6] 0, 1, 31, 331, 1531, 3331, 4051;
%e [7] 0, 1, 43, 673, 4873, 17473, 32593, 37633;
%e [8] 0, 1, 57, 1233, 12993, 71793, 212913, 354033, 394353;
%e [9] 0, 1, 73, 2089, 30313, 241993, 1088713, 2782153, 4233673, 4596553.
%Y Row sums are A052852 for n >= 1.
%Y Cf. A000262, A349776.
%K nonn,tabl
%O 0,6
%A _Peter Luschny_, Nov 30 2021