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%I #2 Mar 30 2012 18:59:13
%S 1,1,-1,1,0,1,1,0,1,-1,1,-1,0,0,1,1,-1,0,0,1,-1,1,0,1,0,0,0,1,1,0,1,0,
%T 0,0,1,-1,1,0,1,-1,0,0,0,0,1,1,0,1,-1,0,0,0,0,1,-1,1,-1,0,0,1,0,0,0,0,
%U 0,1,1,-1,0,0,1,0,0,0,0,0,1,-1,1,-1,0,0,1,-1,0,0,0,0,0,0,1,1,-1,0,0,1,-1,0,0,0,0,0,0,1,-1,1,0,1,0,0,0,1
%N Inverse of number triangle A115524.
%C Row sums are number of zeros in binary expansion of n+2, that is, A023416(n+2) [conjecture].
%e Triangle begins
%e 1,
%e 1, -1,
%e 1, 0, 1,
%e 1, 0, 1, -1,
%e 1, -1, 0, 0, 1,
%e 1, -1, 0, 0, 1, -1,
%e 1, 0, 1, 0, 0, 0, 1,
%e 1, 0, 1, 0, 0, 0, 1, -1,
%e 1, 0, 1, -1, 0, 0, 0, 0, 1,
%e 1, 0, 1, -1, 0, 0, 0, 0, 1, -1,
%e 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1,
%e 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1,
%e 1, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1,
%e 1, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1,
%e 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1,
%e 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1,
%e 1, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1
%K sign,tabl
%O 0,1
%A _Paul Barry_, Jan 25 2006