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 A051236 Largest integer a(n) for which the integer interval [ 0,a(n) ] is a subset of the set of determinants of all n X n 0-1 matrices. 1
 1, 1, 2, 3, 5, 9, 18, 40, 102, 268 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS A definition for a(n) is given in Craigen's paper. The table given there suggests a(9)=102. Term for term, this sequence is one less than the sequence A013588. REFERENCES R. Craigen, The Range of the Determinant Function on the Set of n X n (0,1)-Matrices, J. Combin. Math. Combin. Computing, 8 (1990) pp. 161-171. LINKS FORMULA a(n) = A013588(n) - 1 EXAMPLE There is a 7x7 0-1 matrix with determinant 20, but no 7x7 0-1 matrix with determinant 19. CROSSREFS Cf. A013588. Sequence in context: A234535 A320964 A130581 * A003218 A119002 A058770 Adjacent sequences:  A051233 A051234 A051235 * A051237 A051238 A051239 KEYWORD hard,nice,nonn AUTHOR Gerhard R. Paseman (paseman(AT)prado.com) EXTENSIONS Extended by William Orrick, Jan 12 2006 STATUS approved

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Last modified July 15 14:33 EDT 2019. Contains 325031 sequences. (Running on oeis4.)