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A203245
Second elementary symmetric function of the first n terms of (1,2,3,5,8,...).
2
2, 11, 41, 129, 376, 1048, 2850, 7635, 20273, 53537, 140912, 370128, 970978, 2545243, 6668697, 17467233, 45743336, 119779496, 313622210, 821130915, 2149841377, 5628507841, 14735867616, 38579395104, 101002803266, 264429800363
OFFSET
1,1
FORMULA
Empirical g.f.: -x*(x^3-x^2-3*x-2) / ((x-1)*(x+1)*(x^2-3*x+1)*(x^2+x-1)). - Colin Barker, Aug 15 2014
MATHEMATICA
f[k_] := Fibonacci[k + 1]; t[n_] := Table[f[k], {k, 1, n}]
a[n_] := SymmetricPolynomial[2, t[n]]
Table[a[n], {n, 2, 32}] (* A203245 *)
CROSSREFS
Cf. A190173.
Sequence in context: A062256 A024522 A144841 * A121244 A203574 A070778
KEYWORD
nonn
AUTHOR
Clark Kimberling, Dec 31 2011
STATUS
approved