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%I #7 Aug 07 2014 22:50:36
%S 1,2,6,14,36,82,196,436,1000,2186,4884,10540,23128,49428,107048,
%T 227048,486864,1026394,2183860,4581244,9686776,20237372,42571896,
%U 88632664,185653936,385380932,804316296,1665340856,3464899440,7158117736,14853106384
%N Row sums of triangle in A144480.
%F From _N. J. A. Sloane_, Aug 07 2014: if n is even, a(n) = (n+2)*2^(n-1)-(n/2)*binomial(n,n/2) otherwise a(n) = (n+2)*2^(n-1)-((n+1)/4)*binomial(n+1,(n+1)/2). This follows easily from the definition.
%p f:=n->if (n mod 2) = 0 then (n+2)*2^(n-1)-(n/2)*binomial(n,n/2)
%p else (n+2)*2^(n-1)-((n+1)/4)*binomial(n+1,(n+1)/2); fi;
%p [seq(f(n),n=0..40)];
%Y Cf. A144480.
%K nonn,easy
%O 0,2
%A _Roger L. Bagula_, Oct 11 2008
%E Edited with more terms by _N. J. A. Sloane_, Aug 07 2014
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