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A203165 (n-1)-st elementary symmetric function of the first n terms of the periodic sequence (3,4,1,2,3,4,1,2,...). 3
1, 7, 19, 50, 174, 768, 1056, 2400, 7776, 32832, 39744, 86400, 273024, 1133568, 1299456, 2764800, 8626176, 35500032, 39481344, 82944000, 256794624, 1051066368, 1146617856, 2388787200, 7357464576, 30003167232, 32296402944, 66886041600 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..28.

FORMULA

Conjecture: G.f. x*(1+7*x+19*x^2+50*x^3+126*x^4+432*x^5+144*x^6) / (-1+24*x^4)^2 with a(n) = 48*a(n-4)-576*a(n-8). - R. J. Mathar, Jul 02 2013

MATHEMATICA

f[k_] := 1 + Mod[k + 1, 4];

t[n_] := Table[f[k], {k, 1, n}]

a[n_] := SymmetricPolynomial[n - 1, t[n]]

Table[a[n], {n, 1, 33}]  (* A203165 *)

CROSSREFS

Cf. A010883, A203162, A203163, A203164.

Sequence in context: A018728 A027523 A100545 * A100450 A155423 A155347

Adjacent sequences:  A203162 A203163 A203164 * A203166 A203167 A203168

KEYWORD

nonn

AUTHOR

Clark Kimberling, Dec 30 2011

STATUS

approved

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Last modified August 21 22:56 EDT 2019. Contains 326169 sequences. (Running on oeis4.)