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a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i) where T is A049615.
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%I #10 Aug 05 2021 19:40:22

%S 0,2,5,8,13,18,23,30,39,46,55,66,75,88,101,110,127,144,157,176,193,

%T 206,227,250,267,288,313,332,357,386,403,434,467,488,521,546,571,608,

%U 645,670,703,744,769,812,853,878,923,970,1003,1046,1087

%N a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i) where T is A049615.

%p A049617 := proc(n)

%p add((-1)^i*A049615(i,2*n-i),i=0..2*n) ;

%p end proc: # _R. J. Mathar_, Oct 26 2015

%K nonn

%O 0,2

%A _Clark Kimberling_