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A321629 The Riordan square of the permutation involutions. Triangle T(n, k), 0 <= k <= n, read by rows.

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%I A321629 #4 Dec 09 2018 12:32:40
%S A321629 1,1,1,2,3,1,4,8,5,1,10,22,18,7,1,26,62,60,32,9,1,76,184,194,126,50,
%T A321629 11,1,232,568,630,462,228,72,13,1,764,1840,2072,1644,938,374,98,15,1,
%U A321629 2620,6204,6972,5788,3650,1710,572,128,17,1
%N A321629 The Riordan square of the permutation involutions. Triangle T(n, k), 0 <= k <= n, read by rows.
%C A321629 The Riordan square is defined in A321620.
%e A321629 [0]    1;
%e A321629 [1]    1,    1;
%e A321629 [2]    2,    3,    1;
%e A321629 [3]    4,    8,    5,    1;
%e A321629 [4]   10,   22,   18,    7,    1;
%e A321629 [5]   26,   62,   60,   32,    9,    1;
%e A321629 [6]   76,  184,  194,  126,   50,   11,   1;
%e A321629 [7]  232,  568,  630,  462,  228,   72,  13,   1;
%e A321629 [8]  764, 1840, 2072, 1644,  938,  374,  98,  15,  1;
%e A321629 [9] 2620, 6204, 6972, 5788, 3650, 1710, 572, 128, 17, 1;
%p A321629 # The function RiordanSquare is defined in A321620.
%p A321629 cf := proc(dim) local k, m; m := 1;
%p A321629 for k from dim by -1 to 1 do m := 1 - k*x - k*x^2/m od;
%p A321629 1/m end: RiordanSquare(cf(9), 9);
%Y A321629 First column are the self-inverse permutations A000085.
%Y A321629 Row sums are A193777, alternating row sums are A000007.
%Y A321629 Cf. A321620.
%K A321629 nonn,tabl
%O A321629 0,4
%A A321629 _Peter Luschny_, Dec 09 2018