[seqfan] Re: A seemingly pathological result related to A057059.
Ed Jeffery
lejeffery7 at gmail.com
Mon Jan 9 08:28:22 CET 2012
Oops, Conjecture 5 should read,
CONJECTURE 5. J_N has characteristic polynomial of the form
p_N(x)=sum[v=0..n, c_(n,v)*t^(n-v)], where the c_(n,v) are given by the
triangle beginning as
{c_(n,v)}=
{1};
{1,-1};
{1,-5,5};
{1,-14,49,-49};
{1,-30,243,-729,729};
etc.,
with the absolute values of the outer diagonal terms yielding the sequence,
for r=0,1,...,
A52750={(2*r+1)^(r-1)}={1,1,5,49,729,...}.
Ed
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