This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A178113 #12 Feb 09 2025 02:40:48
%S A178113 1,2,2,4,5,10,13,26,35,70,96,192,267,534,750,1500,2123,4246,6046,
%T A178113 12092,17303,34606,49721,99442,143365,286730,414584,829168,1201917,
%U A178113 2403834,3492117,6984234,10165779,20331558,29643870,59287740,86574831,173149662
%N A178113 Transform of C(n+1,floor((n+1)/2)) by A178112.
%C A178113 Hankel transform is A178115.
%F A178113 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)). [The formula seems to generate A026392, not these terms. - _R. J. Mathar_, Feb 10 2015]
%F A178113 Conjecture: a(2*n) = A005773(n+1), a(2*n+1) = 2*a(2*n). - _Jason Yuen_, Feb 09 2025
%Y A178113 Cf. A178112, A178115, A005773.
%K A178113 easy,nonn
%O A178113 0,2
%A A178113 _Paul Barry_, May 20 2010