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%I #8 Sep 17 2012 12:46:02
%S -1,-11,-114,-3963,-104745,-3926745,-198491580,-26045435115,
%T -2153099119815,-219022225836750,-26891482281048000,
%U -3921682257253270125,-670160622793156369875,-132649536458654226136125
%N First left hand column of the Eta triangle A160464
%p nmax:=15; c(2) := -1/3: for n from 3 to nmax do c(n) := (2*n-2)*c(n-1)/(2*n-1)-1/ ((n-1)*(2*n-1)) end do: for n from 2 to nmax do GCS(n-1) := ln(1/(2^(-(2*(n-1)-1-floor(ln(n-1)/ ln(2))))))/ln(2); p(n) := 2^(-GCS(n-1))*(2*n-1)!; ETA(n, 1) := p(n)*c(n) end do: seq(ETA(n, 1), n=2..nmax);
%Y A160464 is the Eta triangle.
%Y The GCS(n) sequence equals the geometric Connell sequence A049039(n).
%Y The p(n) sequence is given by A160473.
%K easy,sign
%O 2,2
%A _Johannes W. Meijer_, May 24 2009
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