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A203903 a(n)=f(a(1),a(2),...,a(n-1)), where f=(n-2)-nd elementary symmetric function and a(1)=1, a(2)=1, a(3)=1.

%I A203903 #5 Mar 30 2012 18:58:07
%S A203903 1,1,1,3,10,103,10639,113191411,12812295557045431,
%T A203903 164154917441086094769014370809371,
%U A203903 26946836920089791747880319422619013022132207748812110372395151551
%N A203903 a(n)=f(a(1),a(2),...,a(n-1)), where f=(n-2)-nd elementary symmetric function and a(1)=1, a(2)=1, a(3)=1.
%C A203903 The same recurrence applied to initial values
%C A203903 a(1)=1, a(2)=1, a(3)=2 yields A057438.
%C A203903 The same recurrence applied to initial values
%C A203903 a(1)=1, a(2)=2, a(3)=3 yields A061482.
%t A203903 a[1] = 1; a[2] = 1; a[3] = 1;
%t A203903 t[3] = {a[1], a[2], a[3]};
%t A203903 a[n_] := SymmetricPolynomial[n - 2, t[n - 1]]
%t A203903 t[n_] := Append[t[n - 1], {a[n]}]
%t A203903 Flatten[Table[a[n], {n, 1, 12}]]  (* A203903 *)
%Y A203903 Cf. A057438, A061482.
%K A203903 nonn
%O A203903 1,4
%A A203903 _Clark Kimberling_, Jan 07 2012