%I #6 May 10 2023 11:50:15
%S 1,1,1,21,42,21,1849,5547,5547,1849,426405,1705620,2558430,1705620,
%T 426405,203374081,1016870405,2033740810,2033740810,1016870405,
%U 203374081,173959321557,1043755929342,2609389823355,3479186431140,2609389823355,1043755929342,173959321557
%N Triangle read by rows, T(n, k) = A243664(n) * binomial(n, k).
%e [0] 1;
%e [1] 1, 1;
%e [2] 21, 42, 21;
%e [3] 1849, 5547, 5547, 1849;
%e [4] 426405, 1705620, 2558430, 1705620, 426405;
%e [5] 203374081, 1016870405, 2033740810, 2033740810, 1016870405, 203374081;
%o (SageMath) # uses[TransOrdPart from A362585]
%o def A362849(n) -> list[int]: return TransOrdPart(3, n)
%o for n in range(6): print(A362849(n))
%Y Family of triangles: A055372 (m=0, Pascal), A362585 (m=1, Fubini), A362586 (m=2, Joffe), this sequence (m=3, A278073).
%Y Cf. A243664 (column 0 and main diagonal).
%K nonn,tabl
%O 0,4
%A _Peter Luschny_, May 05 2023