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A203166
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(n-1)-st elementary symmetric function of the first n terms of (1,2,3,4,5,1,2,3,4,5,...)=A010884.
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1
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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
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1,2
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LINKS
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FORMULA
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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
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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