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 A203007 (n-1)-st elementary symmetric function of Fibonacci numbers F(2) to F(n). 1
 1, 3, 11, 61, 518, 6974, 149574, 5151036, 285534660, 25535107140, 3687959921760, 860864908848480, 324911938205144160, 198334214378751672000, 195840008156732278248000, 312839537789862069432264000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS From R. J. Mathar, Oct 01 2016 (Start): The k-th elementary symmetric functions of F(j), j=2..n+1, form a triangle T(n,k), 0<=k<=n, n>=0: 1 1 1 1 3 2 1 6 11 6 1 11 41 61 30 1 19 129 389 518 240 1 32 376 2066 5575 6974 3120 1 53 1048 9962 48961 124049 149574 65520 1 87 2850 45594 387669 1788723 4367240 5151036 2227680 This here is the first subdiagonal. The diagonal is A003266. The 2nd column is A001911, the 3rd A203245. (End) LINKS MATHEMATICA f[k_] := Fibonacci[k + 1]; t[n_] := Table[f[k], {k, 1, n}] a[n_] := SymmetricPolynomial[n - 1, t[n]] Table[a[n], {n, 1, 16}] (* A203007 *) CROSSREFS Cf. A000045, A203006. Sequence in context: A024528 A273468 A004108 * A296321 A203768 A069725 Adjacent sequences:  A203004 A203005 A203006 * A203008 A203009 A203010 KEYWORD nonn AUTHOR Clark Kimberling, Dec 29 2011 STATUS approved

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Last modified April 5 18:26 EDT 2020. Contains 333246 sequences. (Running on oeis4.)