Search: id:A118892
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%I A118892
%S A118892 0,0,0,0,1,4,12,30,70,156,339,722,1515,3140,6444,13116,26513,53280,
%T A118892 106530,212062,420503,830964,1637055,3216240,6303099,12324816,24049953,
%U A118892 46841550,91074760,176796340,342696000,663363750,1282457260,2476394580
%N A118892 Number of binary sequences of length n containing exactly one subsequence 
               0110.
%C A118892 Column 1 of A118890. Convolution of A059633 with itself (disregard the 
               0 terms).
%F A118892 G.f.=z^4/(1-2z+z^3-z^4)^2.
%e A118892 a(5)=4 because we have 01100,01101,00110 and 10110.
%p A118892 G:=z^4/(1-2*z+z^3-z^4)^2: Gser:=series(G,z=0,37): seq(coeff(Gser,z,n),
               n=0..34);
%Y A118892 Cf. A118890, A049864, A059633.
%Y A118892 Sequence in context: A036389 A036388 A037166 this_sequence A100691 A000298 
               A006802
%Y A118892 Adjacent sequences: A118889 A118890 A118891 this_sequence A118893 A118894 
               A118895
%K A118892 nonn
%O A118892 0,6
%A A118892 Emeric Deutsch (deutsch(AT)duke.poly.edu), May 04 2006

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