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A070054
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Number of Bottleneck-Monge matrices with 6 rows.
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8
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64, 559, 3558, 19030, 90398, 393133, 1595475, 6121871, 22418665, 78909805, 268421215, 886226507, 2849922043, 8952215067, 27534649147, 83092274171, 246448262139, 719487237115, 2070217930747, 5877572837371, 16481768407035, 45689773670395, 125310468063227, 340264608595963, 915344114450427, 2440847110832123
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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(6, N), where a(P, N) is defined recursively in A070050.
Empirical G.f.: -x*(2048*x^11-21010*x^10+81464*x^9-175106*x^8+241444*x^7-229084*x^6+154777*x^5-75284*x^4+26086*x^3-6189*x^2+913*x-64) / ((x-1)*(2*x-1)^11). - 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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