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A174016 Row sums of number triangle A174014. 2

%I

%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_{0<=k<=n} A198379(n,k)*2^k. - From _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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Last modified July 15 16:09 EDT 2019. Contains 325049 sequences. (Running on oeis4.)