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%I #4 Jul 05 2020 07:29:28
%S 1,1,1,4,5,36,61,624,1385,18256,50521,814144,2702765,51475776,
%T 199360981,4381112064,19391512145,482962852096,2404879675441,
%U 66942218896384,370371188237525,11394877025289216,69348874393137901,2336793875186479104,15514534163557086905
%N Expansion of e.g.f. (1 + sinh(x)) / cos(x).
%F a(2*n) = A000364(n), a(2*n+1) = A002084(n).
%t nmax = 24; CoefficientList[Series[(1 + Sinh[x])/Cos[x], {x, 0, nmax}], x] Range[0, nmax]!
%t a[n_] := If[EvenQ[n], Abs[EulerE[n]], Sum[Binomial[n, k] Abs[EulerE[k]], {k, 0, n}]]; Table[a[n], {n, 0, 24}]
%Y Cf. A000111, A000364, A002084, A003701.
%K nonn
%O 0,4
%A _Ilya Gutkovskiy_, Jul 05 2020
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