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A298419 a(n) = n*a(n-1) - a(n-2) + a([n/2]), where a(0) = 1, a(1) = 1, a(2) = 1.

%I A298419 #4 Feb 11 2018 10:52:53
%S A298419 1,1,1,3,12,58,339,2318,18217,161647,1598311,17419832,207440012,
%T A298419 2679300663,37302771588,556862275475,8872493654229,150275529864635,
%U A298419 2696087044070848,51075378307643124,1018811479110389943,21343965683012143990,468548433547174197669
%N A298419 a(n) = n*a(n-1) - a(n-2) + a([n/2]), where a(0) = 1, a(1) = 1, a(2) = 1.
%H A298419 Clark Kimberling, <a href="/A298419/b298419.txt">Table of n, a(n) for n = 0..1000</a>
%t A298419 a[0] = 1; a[1] = 1; a[2] = 1;
%t A298419 a[n_] := a[n] = n a[n - 1] - a[n - 2] + a[Floor[n/2]];
%t A298419 Table[a[n], {n, 0, 30}]  (* A298419 *)
%Y A298419 Cf. A298338.
%K A298419 nonn,easy
%O A298419 0,4
%A A298419 _Clark Kimberling_, Feb 11 2018