login
Coefficients of polynomials related to ordered set partitions. Triangle read by rows, T_{m}(n, k) for m = 3 and 0 <= k <= n.
3

%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