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%I #2 Mar 30 2012 18:59:18
%S 1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,5,1,1,1,1,7,5,7,1,1,1,1,9,17,7,9,1,
%T 1,1,1,17,25,31,9,11,1,1,1,1,25,61,49,49,11,13,1,1,1,1,43,109,145,81,
%U 71,13,15,1,1,1
%N A square array of Kolakoski string lengths, read by antidiagonals.
%C Rows of square array include A066983,A095342,A095343,A095344. See A066983 for description of Kolakoski strings. Sums of antidiagonals is A124390.
%F Row k of square array has g.f. (1+x-kx^2)/((1+x)(1-x-kx^2))
%e Square array begins
%e 1, 1, 1, 1, 1, 1, 1...
%e 1, 1, 1, 3, 3, 7, 9...
%e 1, 1, 1, 5, 5, 17, 25...
%e 1, 1, 1, 7, 7, 31, 49...
%e 1, 1, 1, 9, 9, 49, 81...
%e 1, 1, 1, 11, 11, 71, 121...
%e 1, 1, 1, 13, 13, 97, 169...
%e As a number triangle, triangle begins
%e 1,
%e 1, 1,
%e 1, 1, 1,
%e 1, 1, 1, 1,
%e 1, 3, 1, 1, 1,
%e 1, 3, 5, 1, 1, 1,
%e 1, 7, 5, 7, 1, 1, 1,
%e 1, 9, 17, 7, 9, 1, 1, 1,
%e 1, 17, 25, 31, 9, 11, 1, 1, 1
%K easy,nonn,tabl
%O 0,12
%A _Paul Barry_, Oct 30 2006
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