OFFSET
0,1
FORMULA
G.f.: (x^13+12*x^3+50*x^2-68*x+86) / (x-1)^2. [Colin Barker, Dec 13 2012] [I suspect this is merely a conjecture. - N. J. A. Sloane, Jun 09 2018]
EXAMPLE
a(0)=86 because the maximal determinant that can achieved using the consecutive integers -4,-3,-2,-1,0,1,2,3,4 as matrix elements of a 3 X 3 matrix is det((-4,-3,0),(1,-1,4),(-2,3,2))=86. Another example for a(5)=412 is given in A085000.
MATHEMATICA
Join[{86, 104, 172, 252, 332, 412, 492, 572, 652, 732, 812, 892}, LinearRecurrence[ {2, -1}, {972, 1053}, 40]] (* or *) Table[ Det[ Partition[ #, 3]]&/@ Permutations[ Range[n-4, n+4]]//Max, {n, 0, 45}] (* Harvey P. Dale, Jan 14 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Aug 19 2004
STATUS
approved