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A070053
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Number of Bottleneck-Monge matrices with 5 rows.
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7
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32, 223, 1194, 5535, 23225, 90398, 331561, 1158554, 3887592, 12603092, 39659340, 121593628, 364327996, 1069496444, 3082349564, 8737174524, 24395286524, 67182399484, 182689947644, 491040063484, 1305703776252, 3437454229500, 8965943918588, 23184233594876, 59466277191676, 151373599997948, 382587234156540
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OFFSET
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1,1
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COMMENTS
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Bottleneck-Monge matrices are {0,1} matrices A in which, for every i<j and k<l, max(A[i,l],A[j,k]) <= max(A[i,k],A[j,l]).
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LINKS
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FORMULA
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a(N) = a(5, N), where a(P, N) is defined recursively in A070050.
Empirical G.f.: -x*(512*x^9-4204*x^8+12965*x^7-21713*x^6+22623*x^5-15536*x^4+7137*x^3-2141*x^2+385*x-32) / ((x-1)*(2*x-1)^9). - Colin Barker, Feb 28 2013
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Pascal Prea (pascal.prea(AT)lim.univ-mrs.fr), Apr 18 2002
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EXTENSIONS
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STATUS
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approved
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