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%I #3 Oct 12 2012 14:40:24
%S 1,-6,92,-1623,31991,-673903,14855765,-338444182,7905221248,
%T -188294015986,4556160266218,-111682969647780,2767470863606632,
%U -69211374967753668,1744655539982525892,-44282217426880817943,1130756774785983371727
%N Partial sums of Catalan numbers A000108 multiplied by powers of -7.
%C Eighth column (m=7) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers).
%F a(n)= A112707(n+7, 7), n>=0.
%F G.f.: c(-7*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.
%F G.f. for unsigned sequence: c(7*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*7^n} and {(-1)^n}, where C(n):=A000108(n).
%Y Cf. A113265 (m=6).
%K sign,easy
%O 0,2
%A _Wolfdieter Lang_, Oct 31 2005
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