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A203235
(n-1)-st elementary symmetric function of the first n terms of the periodic sequence (1,1,1,3,1,1,1,3,...).
3
1, 2, 3, 10, 13, 16, 19, 60, 69, 78, 87, 270, 297, 324, 351, 1080, 1161, 1242, 1323, 4050, 4293, 4536, 4779, 14580, 15309, 16038, 16767, 51030, 53217, 55404, 57591, 174960, 181521, 188082, 194643, 590490, 610173, 629856, 649539, 1968300
OFFSET
1,2
FORMULA
Conjecture: a(n) = 6*a(n-4)-9*a(n-8) with G.f. x*(1+2*x+3*x^2+10*x^3+7*x^4+4*x^5+x^6) / ( (-1+3*x^4)^2 ). - R. J. Mathar, Oct 15 2013
MATHEMATICA
r = {1, 1, 1, 3, 1, 1, 1, 3};
s = Flatten[{r, r, r, r, r, r, r, r, r}];
t[n_] := Part[s, Range[n]]
a[n_] := SymmetricPolynomial[n - 1, t[n]]
Table[a[n], {n, 1, 47}] (* A203235 *)
CROSSREFS
Cf. A203234.
Sequence in context: A218028 A067769 A066089 * A256214 A256213 A256414
KEYWORD
nonn
AUTHOR
Clark Kimberling, Dec 30 2011
STATUS
approved