A390669 - OEIS

%I #40 Jan 23 2026 22:23:29

%S 0,-1,-2,-3,-5,-9,-32,-56,-117,-315,-1458,-2673,-7776,-22386,-131072

%N Minimum determinant of a n X n Hankel matrix with entries in {0,1}.

%H David Consiglio, Jr., <a href="/A390669/a390669.py.txt">Python</a>

%e Examples achieving the minimum, given as a binary string of length 2n-1 whose length-n sliding windows give the successive rows of the matrix:

%e  1  0

%e  2  010

%e  3  01101

%e  4  1011101

%e  5  010111010

%e  6  00010110011

%e  7  0010111001011

%e  8  101011100101111

%e  9  00100101110011010

%e 10  0011010111001001011

%e 11  000101101110001011011

%e 12  10010110111000101101111

%e 13  0001010110011111010100110

%e 14  000110011010111110001001010

%e 15  00010011010111100010011010111

%Y Cf. A096390, which covers the case of maximum determinant.

%K sign,more

%O 1,3

%A _Jeffrey Shallit_, Jan 15 2026

%E a(13)-a(15) from _David Consiglio, Jr._, Jan 23 2026