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A362144
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Maximum number of ways in which a set of integer-sided squares can tile an n X 3 rectangle.
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3
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1, 1, 2, 4, 6, 12, 24, 40, 80, 160, 280, 560, 1120, 2240, 4480, 10080, 20160, 40320, 88704, 177408, 354816, 768768, 1537536, 3075072, 6589440, 13178880, 26357760, 56010240, 112020480, 224040960, 504092160, 1064194560, 2128389120, 4729753600, 9932482560
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = max_{3*i+2*j<=n} C(i,j,n-3*i-2*j)*2^j, where C(i,j,k) is the trinomial coefficient (i+j+k)!/(i!*j!*k!). (i and j correspond to the number of squares of side lengths 3 and 2, respectively.)
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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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