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 A013588 Smallest positive integer not the determinant of an n X n 0-1 matrix. 6
 2, 2, 3, 4, 6, 10, 19, 41, 103, 269 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This majorizes the sequence of maximal determinants only up to the 6th term. It is conjectured that the sequence of maximal determinants majorizes this for all later terms. The 8th term has not been independently verified. 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. Miodrag Zivkovic, Massive computation as a problem solving tool. In Proceedings of the 10th Congress of Yugoslav Mathematicians (Belgrade, 2001), pages 113-128. Univ. Belgrade Fac. Math., Belgrade, 2001. LINKS W. P. Orrick, The maximal {-1, 1}-determinant of order 15. G. R. Paseman, Related Material M. Zivkovic, Classification of small (0,1) matrices EXAMPLE There is no 3 X 3 0-1 matrix with determinant 3, as such a matrix must have a row with at least one 0 in it. CROSSREFS Cf. A003432. Sequence in context: A284908 A103599 A032245 * A108150 A066015 A065482 Adjacent sequences:  A013585 A013586 A013587 * A013589 A013590 A013591 KEYWORD nice,hard,nonn AUTHOR Gerhard R. Paseman (paseman(AT)prado.com) EXTENSIONS Extended by William Orrick, Jan 12 2006. a(7), a(8) and a(9) computed by Miodrag Zivkovic. a(7) and a(8) independently confirmed by Antonis Charalambides. a(10) computed by William Orrick. Lower bounds: a(11) >= 739, a(12) >= 2173, a(13) >= 6739, a(14) >= 21278, a(15) >= 69259, a(16) >= 230309 STATUS approved

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Last modified December 14 00:21 EST 2017. Contains 295976 sequences.