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A203164 (n-1)-st elementary symmetric function of the first n terms of the periodic sequence (4,1,2,3,4,1,2,3,...). 3
1, 5, 14, 50, 224, 320, 736, 2400, 10176, 12480, 27264, 86400, 359424, 414720, 884736, 2764800, 11390976, 12718080, 26763264, 82944000, 339738624, 371589120, 775028736, 2388787200, 9746251776, 10510663680, 21785739264, 66886041600 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

Conjecture: a(n)=48*a(n-4)-576*a(n-8) with G.f. x*(1+5*x+14*x^2+50*x^3+176*x^4+80*x^5+64*x^6) / (-1+24*x^4)^2. - R. J. Mathar, Oct 15 2013

MATHEMATICA

f[k_] := 1 + Mod[k + 2, 4];

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

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

Table[a[n], {n, 1, 33}] (* A203164 *)

CROSSREFS

Cf. A010883, A203162, A203163, A203165.

Sequence in context: A272147 A272223 A107242 * A063835 A054664 A091218

Adjacent sequences:  A203161 A203162 A203163 * A203165 A203166 A203167

KEYWORD

nonn

AUTHOR

Clark Kimberling, Dec 30 2011

STATUS

approved

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Last modified May 19 08:25 EDT 2019. Contains 323389 sequences. (Running on oeis4.)