%I #9 Mar 27 2020 09:47:29
%S 1,3,5,11,23,47,119,239,719,1439,5039,10079,40319,80639,362879,725759,
%T 3628799,7257599,39916799,79833599,479001599,958003199,6227020799,
%U 12454041599,87178291199,174356582399,1307674367999,2615348735999
%N If n is even, 2(n/2 + 1)! - 1; if n is odd, ((n + 1)/2 + 1)! - 1.
%t Table[If[EvenQ[n], 2(n/2 + 1)! - 1, ((n + 1)/2 + 1)! - 1], {n, 40}] (* _Alonso del Arte_, Feb 19 2020 *)
%o (PARI) a(n)=if(n%2, (n\2+2)!, (n/2+1)!*2) - 1 \\ _Charles R Greathouse IV_, Mar 27 2020
%Y s(n) = s(n + 1), where s = A030298.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_
%E Better description and more terms from _Erich Friedman_.