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A188150
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Number of 5-step self-avoiding walks on an n X n square summed over all starting positions.
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1
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0, 0, 104, 432, 972, 1712, 2652, 3792, 5132, 6672, 8412, 10352, 12492, 14832, 17372, 20112, 23052, 26192, 29532, 33072, 36812, 40752, 44892, 49232, 53772, 58512, 63452, 68592, 73932, 79472, 85212, 91152, 97292, 103632, 110172, 116912, 123852, 130992
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OFFSET
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1,3
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 100*n^2 - 360*n + 272 for n>3.
G.f.: 4*x^3*(26 + 30*x - 3*x^2 - 3*x^3) / (1 - x)^3.
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>6.
(End)
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EXAMPLE
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Some solutions for 3 X 3:
5 4 3 1 0 5 5 0 1 2 1 0 0 1 0 1 0 0 5 0 0
0 1 2 2 3 4 4 3 2 3 4 5 0 2 3 2 0 0 4 3 0
0 0 0 0 0 0 0 0 0 0 0 0 0 5 4 3 4 5 1 2 0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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