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A365946
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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.
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1
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0, 1, 0, 4, 8, 4, 1, 0, 9, 60, 168, 256, 230, 124, 40, 9, 1, 0, 16, 216, 1344, 5105, 13212, 24618, 34012, 35347, 27748, 16412, 7284, 2442, 632, 124, 16, 1, 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
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OFFSET
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1,4
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COMMENTS
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The cluster density function is (1/n^2)*Sum_{k=0..n^2} T(n,k)*p^k*(1-p)^(n^2-k).
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LINKS
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EXAMPLE
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Triangle begins:
0, 1,
0, 4, 8, 4, 1,
0, 9, 60, 168, 256, 230, 124, 40, 9, 1,
0, 16, 216, 1344, 5105, 13212, 24618, 34012, 35347, 27748, 16412, 7284, 2442, 632, 124, 16, 1,
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,
...
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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