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%I #6 Jul 21 2019 06:53:17
%S 1,0,1,0,36,35,0,12046,17820,5775,0,16674906,30263480,16216200,
%T 2627625,0,65544211366,135417565890,93516348900,26189163000,
%U 2546168625,0,588586227465426,1334168329550300,1083314031995250,402794176785000,69571511509500,4509264634875
%N Coefficients of polynomials related to ordered set partitions. Triangle read by rows, T_{m}(n, k) for m = 4 and 0 <= k <= n.
%F T(n, k) = T_{4}(n, k) where T_{m}(n, k) is defined in A326477.
%e Triangle starts:
%e [0] [1]
%e [1] [0, 1]
%e [2] [0, 36, 35]
%e [3] [0, 12046, 17820, 5775]
%e [4] [0, 16674906, 30263480, 16216200, 2627625]
%e [5] [0, 65544211366, 135417565890, 93516348900, 26189163000, 2546168625]
%e [6] [0, 588586227465426, 1334168329550300, 1083314031995250, 402794176785000, 69571511509500, 4509264634875]
%p # See A326477.
%Y Row sums A243665. Main diagonal A025036.
%Y A129062 (m=1, associated with A131689), A326477 (m=2, associated with A241171), A326587 (m=3, associated with A278073), this sequence (m=4, associated with A278074).
%K nonn,tabl
%O 0,5
%A _Peter Luschny_, Jul 21 2019