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A203165
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(n-1)-st elementary symmetric function of the first n terms of the periodic sequence (3,4,1,2,3,4,1,2,...).
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3
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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
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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+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
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MATHEMATICA
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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 *)
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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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