|
%I #3 Oct 12 2012 14:40:25
%S 1,-9,191,-4809,135191,-4064809,127935191,-4162064809,138837935191,
%T -4723162064809,163236837935191,-5715363162064809,202296636837935191,
%U -7226703363162064809,260217296636837935191,-9434627703363162064809,344142072296636837935191
%N Partial sums of Catalan numbers A000108 multiplied by powers of -10.
%C Eleventh column (m=10) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers).
%F a(n)= A112707(n+10, 10), n>=0.
%F G.f.: c(-10*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(10*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*10^n} and {(-1)^n}, where C(n):=A000108(n).
%Y Cf. A113268 (m=9).
%K sign,easy
%O 0,2
%A _Wolfdieter Lang_, Oct 31 2005
|
