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%I #15 Oct 11 2023 08:43:01
%S 0,1,0,4,8,4,1,0,9,60,168,256,230,124,40,9,1,0,16,216,1344,5105,13212,
%T 24618,34012,35347,27748,16412,7284,2442,632,124,16,1,0,25,544,5644,
%U 37136,173866,616009,1714798,3843649,7053191,10716779,13586810,14446850,12928519,9764490,6242558,3390724,1570643,621183,208557,58479,13306,2352,302,25,1
%N Irregular triangle read by rows: T(n,k) (0 <= k <= n^2) are coefficients of cluster density function for site percolation on an n X n 2D square lattice with open boundary conditions.
%C The cluster density function is (1/n^2)*Sum_{k=0..n^2} T(n,k)*p^k*(1-p)^(n^2-k).
%H Stephan Mertens, <a href="https://wasd.urz.uni-magdeburg.de/mertens/research/percolation/">Percolation</a> (Gives first 16 rows)
%e Triangle begins:
%e 0, 1,
%e 0, 4, 8, 4, 1,
%e 0, 9, 60, 168, 256, 230, 124, 40, 9, 1,
%e 0, 16, 216, 1344, 5105, 13212, 24618, 34012, 35347, 27748, 16412, 7284, 2442, 632, 124, 16, 1,
%e 0, 25, 544, 5644, 37136, 173866, 616009, 1714798, 3843649, 7053191, 10716779, 13586810, 14446850, 12928519, 9764490, 6242558, 3390724, 1570643, 621183, 208557, 58479, 13306, 2352, 302, 25, 1,
%e ...
%Y Cf. A365940-A365947.
%K nonn,tabf
%O 1,4
%A _N. J. A. Sloane_, Oct 10 2023