%I A115125
%S A115125 1,2,4,16,80,448,2688,16896,109824,732160,4978688,34398208,240787456,
%T A115125 1704034304,12171673600,87636049920,635361361920,4634400522240,
%U A115125 33985603829760,250420238745600,1853109766717440
%N A115125 A sequence related to Catalan numbers A000108.
%C A115125 The convolution of this sequence with the sequence {(-1)^n} is A064062 
               (see also A062992).
%C A115125 The sequence A064062 appears in the Derrida et al. 1992 reference (see 
               A064094) for alpha=2, beta =1 (or alpha=1, beta=2)
%F A115125 a(n)=C(n-1)*2^n, n>=1, a(0):=1, with C(n):=A000108(n) (Catalan).
%F A115125 G.f.: 1 + (2*x)*c(2*x) with c(x):=(1-sqrt(1-4*x))/(2*x), the o.g.f. of 
               Catalan numbers A000108.
%F A115125 a(n)=A025225(n), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Aug 11 2008]
%Y A115125 Essentially identical to A025225.
%Y A115125 Sequence in context: A103619 A027436 A025225 this_sequence A000831 A000090 
               A013115
%Y A115125 Adjacent sequences: A115122 A115123 A115124 this_sequence A115126 A115127 
               A115128
%K A115125 nonn,easy
%O A115125 0,2
%A A115125 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Jan 13 2006