%I #8 May 06 2021 13:35:19
%S 1,1,2,4,9,27,93,392,1898,10493,64885,443916,3326317,27085015,
%T 238073306,2246348560,22643042325,242808804441,2759740869777,
%U 33138397797908,419171443909394,5570771017483187,77603014042711369,1130712331125929112,17198408830271090233
%N a(n) = Sum_{k=0..floor(n/2)} A109449(n-k, k).
%F a(n) ~ 2^(n+2) * n! / Pi^(n+1). - _Vaclav Kotesovec_, May 06 2021
%p seq(add(A109449(n-k, k), k = 0..n/2), n = 0..25);
%t Table[Sum[Binomial[n-k,k] * 2^(n-2*k) * Abs[EulerE[n-2*k,1/2] + EulerE[n-2*k,1]], {k,0,Floor[n/2]}] - (1 + (-1)^n)/2, {n,0,25}] (* _Vaclav Kotesovec_, May 06 2021 *)
%Y Cf. A109449.
%K nonn
%O 0,3
%A _Peter Luschny_, May 06 2021
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