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%I #7 Jul 21 2019 06:55:29
%S 1,0,1,0,11,10,0,645,924,280,0,111563,197802,101640,15400,0,42567981,
%T 86271640,57717660,15415400,1401400,0,30342678923,67630651098,
%U 53492240256,19158419280,3144741600,190590400
%N Coefficients of polynomials related to ordered set partitions. Triangle read by rows, T_{m}(n, k) for m = 3 and 0 <= k <= n.
%F T(n, k) = T_{3}(n, k) where T_{m}(n, k) is defined in A326477.
%e Triangle starts:
%e 0 [1]
%e 1 [0, 1]
%e 2 [0, 11, 10]
%e 3 [0, 645, 924, 280]
%e 4 [0, 111563, 197802, 101640, 15400]
%e 5 [0, 42567981, 86271640, 57717660, 15415400, 1401400]
%e 6 [0, 30342678923, 67630651098, 53492240256, 19158419280, 3144741600, 190590400]
%p # See A326477.
%Y Row sums A243664. Main diagonal A025035.
%Y A129062 (m=1, associated with A131689), A326477 (m=2, associated with A241171), this sequence (m=3, associated with A278073), A326585 (m=4, associated with A278074).
%K nonn,tabl
%O 0,5
%A _Peter Luschny_, Jul 20 2019
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