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A357586 Triangle read by rows. Convolution triangle of A002467 (number of permutations with fixed points).

%I A357586 #6 May 22 2024 06:48:39
%S A357586 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 A357586 3186,1182,378,112,30,6,1,0,25487,8115,2274,629,165,39,7,1,0,229384,
%U A357586 63266,15439,3840,965,230,49,8,1,0,2293839,554656,117921,25966,6006,1401,308,60,9,1
%N A357586 Triangle read by rows. Convolution triangle of A002467 (number of permutations with fixed points).
%e A357586 [0] 1;
%e A357586 [1] 0,      1;
%e A357586 [2] 0,      1,     1;
%e A357586 [3] 0,      4,     2,     1;
%e A357586 [4] 0,     15,     9,     3,    1;
%e A357586 [5] 0,     76,    38,    15,    4,   1;
%e A357586 [6] 0,    455,   198,    70,   22,   5,   1;
%e A357586 [7] 0,   3186,  1182,   378,  112,  30,   6,  1;
%e A357586 [8] 0,  25487,  8115,  2274,  629, 165,  39,  7,  1;
%e A357586 [9] 0, 229384, 63266, 15439, 3840, 965, 230, 49,  8,  1;
%p A357586 # Uses function PMatrix from A357368.
%p A357586 PMatrix(10, n -> simplify(GAMMA(n+1) - GAMMA(n+1, -1)*exp(-1)));
%Y A357586 Cf. A002467.
%K A357586 nonn,tabl
%O A357586 0,8
%A A357586 _Peter Luschny_, Oct 09 2022