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A070056 Number of Bottleneck-Monge matrices with 8 rows. 7
256, 3327, 28606, 196301, 1158554, 6121871, 29688844, 134361100, 574209267, 2337788346, 9128782573, 34372098576, 125327730017, 444081743234, 1533640995983, 5174881667481, 17096446731321, 55402030270777, 176377009761145, 552397160169465, 1704039417961465, 5183132984363513, 15559823619750905, 46141145945628665 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
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]).
LINKS
FORMULA
a(N) = a(8, N), where a(P, N) is defined recursively in A070050.
G.f.: x*(256 - 4609*x + 40669*x^2 - 232695*x^3 + 961183*x^4 - 3017869*x^5 + 7388387*x^6 - 14256058*x^7 + 21694227*x^8 - 25838259*x^9 + 23693517*x^10 - 16267523*x^11 + 7986763*x^12 - 2589705*x^13 + 474491*x^14 - 32768*x^15) / ((1 - x)*(1 - 2*x)^15) (conjectured). - Colin Barker, Sep 10 2017
CROSSREFS
Sequence in context: A236254 A236251 A344304 * A185575 A185933 A185572
KEYWORD
nonn
AUTHOR
Pascal Prea (pascal.prea(AT)lim.univ-mrs.fr), Apr 18 2002
EXTENSIONS
a(10)-a(24) from Nathaniel Johnston, Apr 13 2011
STATUS
approved

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)