%I #6 May 22 2024 06:48:39

%S 1,0,1,0,1,1,0,4,2,1,0,15,9,3,1,0,76,38,15,4,1,0,455,198,70,22,5,1,0,

%T 3186,1182,378,112,30,6,1,0,25487,8115,2274,629,165,39,7,1,0,229384,

%U 63266,15439,3840,965,230,49,8,1,0,2293839,554656,117921,25966,6006,1401,308,60,9,1

%N Triangle read by rows. Convolution triangle of A002467 (number of permutations with fixed points).

%e [0] 1;

%e [1] 0, 1;

%e [2] 0, 1, 1;

%e [3] 0, 4, 2, 1;

%e [4] 0, 15, 9, 3, 1;

%e [5] 0, 76, 38, 15, 4, 1;

%e [6] 0, 455, 198, 70, 22, 5, 1;

%e [7] 0, 3186, 1182, 378, 112, 30, 6, 1;

%e [8] 0, 25487, 8115, 2274, 629, 165, 39, 7, 1;

%e [9] 0, 229384, 63266, 15439, 3840, 965, 230, 49, 8, 1;

%p # Uses function PMatrix from A357368.

%p PMatrix(10, n -> simplify(GAMMA(n+1) - GAMMA(n+1, -1)*exp(-1)));

%Y Cf. A002467.

%K nonn,tabl

%O 0,8

%A _Peter Luschny_, Oct 09 2022