%I #8 Jun 25 2013 13:43:02
%S 0,0,1,1,2,2,3,2,3,4,8,10,14,18,24,28,41,56,69,91,123,164,221,286,366,
%T 494,636,832,1095,1423,1847,2440,3154,4166,5366,7025,9119,11925,15495,
%U 20259,26320,34409,44827,58432,76193,99353,129347,168789,219947,286629
%N Number of 2's in n-th term of A007651.
%H Peter J. C. Moses, <a href="/A022467/b022467.txt">Table of n, a(n) for n = 1..1000</a>
%t p={-12,20,-11,8,9,-30,39,-58,67,-63,29,-14,0,39,15,-63,-11,30,31,22,-11,-21,23,-46,34,-46,60,26,-64,20,-77,59,41,-7,-32,-14,-6,9,5,16,1,33,-35,0,-64,38,25,38,3,-49,-27,1,11,21,2,-1,13,-9,-14,-11,1,14,11,2,-6,-8,-5,2,5,3,1,-1,-1,-2,0,0,1,0,0}; q={6,-9,9,-18,16,-11,14,-8,1,-5,7,2,8,-14,-5,-5,19,3,-6,-7,-6,16,-7,8,-22,17,-12,7,5,7,-8,4,-7,-9,13,-4,-6,14,-14,19,-7,-13,2,-4,18,0,-1,-4,-12,8,-5,0,8,1,7,-8,-5,-2,3,3,0,0,0,0,-2,-1,0,3,1,-1,-1,-1,1}; gf=Fold[x #1+#2&,0,p]/Fold[x #1+#2&,0,q]; CoefficientList[Series[gf,{x,0,99}],x] (* _Peter J. C. Moses_, Jun 24 2013 *)
%K nonn
%O 1,5
%A _Clark Kimberling_