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A360174 Triangle read by rows. T(n, k) = (k + 1) * abs(Stirling1(n, k)).

%I A360174 #8 Feb 09 2023 05:53:55
%S A360174 1,0,2,0,2,3,0,4,9,4,0,12,33,24,5,0,48,150,140,50,6,0,240,822,900,425,
%T A360174 90,7,0,1440,5292,6496,3675,1050,147,8,0,10080,39204,52528,33845,
%U A360174 11760,2254,224,9,0,80640,328752,472496,336420,134694,31752,4368,324,10
%N A360174 Triangle read by rows. T(n, k) = (k + 1) * abs(Stirling1(n, k)).
%e A360174 Triangle T(n, k) starts:
%e A360174 [0] 1;
%e A360174 [1] 0,     2;
%e A360174 [2] 0,     2,     3;
%e A360174 [3] 0,     4,     9,     4;
%e A360174 [4] 0,    12,    33,    24,     5;
%e A360174 [5] 0,    48,   150,   140,    50,     6;
%e A360174 [6] 0,   240,   822,   900,   425,    90,    7;
%e A360174 [7] 0,  1440,  5292,  6496,  3675,  1050,  147,   8;
%e A360174 [8] 0, 10080, 39204, 52528, 33845, 11760, 2254, 224, 9;
%p A360174 T := (n, k) -> (k + 1)*abs(Stirling1(n, k)):
%p A360174 for n from 0 to 8 do seq(T(n, k), k = 0..n) od;
%Y A360174 Cf. A208529 (column 1), A006002 (subdiagonal), A000774 (row sums).
%Y A360174 Cf. A069138 (Stirling2 counterpart), A360205 (Lah counterpart).
%K A360174 nonn,tabl
%O A360174 0,3
%A A360174 _Peter Luschny_, Feb 08 2023