[seqfan] Re: n X n binary array quasi-packing problem

[Richard J. Mathar]

On behalf of http://list.seqfan.eu/pipermail/seqfan/2017-February/017253.html :

This leads to the immediate conjecture that the case with b=8 is given by

G.f.: -x^2*(2+5*x+3*x^2+3*x^3+x^4)/(1+x+x^2)^2/(x-1)^3 .
<a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,2,-2,0,-1,1).
a(n) = +a(n-1) +2*a(n-3) -2*a(n-4) -a(n-6) +a(n-7).

27*a(n) = -4-9*n+21*n^2 +4*c(n) -12*c(n-2)-c(n-3).
where c(n) = (-1)^n*A099254(n)
and A033582 is a trisection.