%I A032349
%S A032349 1,4,24,172,1360,11444,100520,911068,8457504,80006116,768464312,
%T A032349 7474561164,73473471344,728745517972,7284188537672,73301177482172,
%U A032349 742009157612608,7550599410874820,77193497566719320,792498588659426924
%N A032349 Number of paths from (0,0) to (3n,0) that stay in first quadrant (but 
               may touch horizontal axis), where each step is (2,1),(1,2) or (1,
               -1) and start with (2,1).
%D A032349 Problem 10658, American Math. Monthly, 107, 2000, 368-370.
%F A032349 z A^2, where A is the g. f. of A027307
%Y A032349 Convolution of A027307 with itself.
%Y A032349 Sequence in context: A069722 A027079 A052685 this_sequence A103334 A156017 
               A000309
%Y A032349 Adjacent sequences: A032346 A032347 A032348 this_sequence A032350 A032351 
               A032352
%K A032349 nonn
%O A032349 1,2
%A A032349 Emeric Deutsch (deutsch(AT)duke.poly.edu)