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Row sums of a Pascal-Thue-Morse triangle.
1

%I #3 Mar 30 2012 18:59:13

%S 1,2,4,8,15,26,43,72,129,250,506,1024,2016,3824,7011,12592,22661,

%T 42042,82384,171704,375386,840092,1881584,4153824,8964736,18852992,

%U 38629504,77259008,151303440,291370976

%N Row sums of a Pascal-Thue-Morse triangle.

%C Binomial transform of double Gould sequence A095190(n+2). Row sums of A114225.

%F a(n)=sum{k=0..n, sum{j=0..n-k, C(n-k, j)C(k, j)A010060(j+1)}}; a(n)=sum{k=0..n, C(n, k)A095190(k+2)}.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Nov 18 2005