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A203903
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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.
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1
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1, 1, 1, 3, 10, 103, 10639, 113191411, 12812295557045431, 164154917441086094769014370809371, 26946836920089791747880319422619013022132207748812110372395151551
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OFFSET
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1,4
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COMMENTS
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The same recurrence applied to initial values
a(1)=1, a(2)=1, a(3)=2 yields A057438.
The same recurrence applied to initial values
a(1)=1, a(2)=2, a(3)=3 yields A061482.
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LINKS
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MATHEMATICA
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a[1] = 1; a[2] = 1; a[3] = 1;
t[3] = {a[1], a[2], a[3]};
a[n_] := SymmetricPolynomial[n - 2, t[n - 1]]
t[n_] := Append[t[n - 1], {a[n]}]
Flatten[Table[a[n], {n, 1, 12}]] (* A203903 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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