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%I #15 Jan 26 2020 01:05:20
%S 1,2,6,16,40,92,192,352,528,512,-192,-2128,-3840,5888,69056,299264,
%T 917760,2125184,3258368,-117760,-23297536,-103321600,-295843840,
%U -577744128,-416948224,2490589184,14821469184,50063536128
%N Row sums of number triangle A174014.
%C Hankel transform is 1, 2, -8, -32, -256, 4096, ... (signed version of A134751).
%F G.f.: (sqrt(1-4x+4x^2+8x^3)+4x-1)/(2x(1-2x));
%F g.f.: 1/(1-2x/(1-x/(1+x/(1-2x/(1-x/(1+x/(1-2x/(1-... (continued fraction).
%F a(n) = Sum_{k=0..n} A198379(n,k)*2^k. - _Philippe Deléham_, Oct 29 2011
%F Conjecture: (n+1)*a(n) - 6*n*a(n-1) + 12*(n-1)*a(n-2) - 12*a(n-3) + 8*(7-2*n)*a(n-4) = 0. - _R. J. Mathar_, Nov 13 2012
%K easy,sign
%O 0,2
%A _Paul Barry_, Mar 05 2010
%E First formula corrected by _Philippe Deléham_, Feb 16 2012
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