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Transform of C(n+1,floor((n+1)/2)) by A178112.
1

%I #7 Feb 13 2015 04:19:54

%S 1,2,2,4,5,10,13,26,35,70,96,192,267,534,750,1500,2123,4246,6046,

%T 12092,17303,34606,49721,99442,143365,286730,414584,829168,1201917,

%U 2403834,3492117,6984234,10165779,20331558,29643870,59287740,86574831,173149662

%N Transform of C(n+1,floor((n+1)/2)) by A178112.

%C Hankel transform is A178115.

%C The formula below seems to generate A026392, not these terms. - _R. J. Mathar_, Feb 10 2015

%F a(n)=sum{k=0..n, C(floor(n/2),floor(k/2))*((1+(-1)^(n-k))/2)*C(k+1,floor((k+1)/2).

%K easy,nonn

%O 0,2

%A _Paul Barry_, May 20 2010