%I #3 Oct 12 2012 14:40:24

%S 1,-5,67,-1013,17131,-309461,5849131,-114243413,2287607467,

%T -46710150485,968879741611,-20358507992405,432438339283627,

%U -9270351245202773,200309903779703467,-4358060643012007253,95389812498547780267,-2099063396615767545173

%N Partial sums of Catalan numbers A000108 multiplied by powers of -6.

%C Seventh column (m=6) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers).

%F a(n)= A112707(n+6, 6), n>=0.

%F G.f.: c(-6*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(6*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*6^n} and {(-1)^n}, where C(n):=A000108(n).

%Y Cf. A113264 (m=5).

%K sign,easy

%O 0,2

%A _Wolfdieter Lang_, Oct 31 2005