A203166 - OEIS

A203166

(n-1)-st elementary symmetric function of the first n terms of (1,2,3,4,5,1,2,3,4,5,...)=A010884.

1, 3, 11, 50, 274, 394, 908, 2964, 12576, 65760, 80160, 174720, 552960, 2298240, 11836800, 13564800, 28857600, 90028800, 370483200, 1893888000, 2101248000, 4409856000, 13644288000, 55821312000, 284083200000, 308966400000

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..26.

FORMULA

Conjecture: G.f. x*(1+3*x+11*x^2+50*x^3+274*x^4+154*x^5+188*x^6+324*x^7+576*x^8) / (-1+120*x^5)^2 with a(n) = 240*a(n-5) -14400*a(n-10). - R. J. Mathar, Jul 02 2013

MATHEMATICA

f[k_] := 1 + Mod[k + 4, 5];

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

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

Table[a[n], {n, 1, 33}] (* A203166 *)

CROSSREFS

Cf. A010884, A203163.

Sequence in context: A346762 A354323 A230961 * A000254 A081048 A065048

Adjacent sequences: A203163 A203164 A203165 * A203167 A203168 A203169

KEYWORD

nonn

AUTHOR

Clark Kimberling, Dec 30 2011

STATUS

approved