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A058582
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Expansion of (1+3*x+4*x^2)/(1-4*x^2+4*x^4).
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2
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1, 3, 8, 12, 28, 36, 80, 96, 208, 240, 512, 576, 1216, 1344, 2816, 3072, 6400, 6912, 14336, 15360, 31744, 33792, 69632, 73728, 151552, 159744, 327680, 344064, 704512, 737280, 1507328, 1572864, 3211264, 3342336, 6815744, 7077888
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Is a(n) the (n-1)-st elementary symmetric function of first n terms of (2,1,2,1,2,1,2,...)? See the Mathematica section. [From Clark Kimberling, Dec 29 2011]
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MATHEMATICA
| f[k_] := 1 + Mod[k, 2]; t[n_] := Table[f[k], {k, 1, n}]
a[n_] := SymmetricPolynomial[n - 1, t[n]]
Table[a[n], {n, 1, 33}]
(* Clark Kimberling, Dec 29 2011 *)
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CROSSREFS
| a(n)=T(n, 1), array T as in A064861.
Sequence in context: A092954 A114803 A083171 * A178720 A027292 A032304
Adjacent sequences: A058579 A058580 A058581 * A058583 A058584 A058585
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 26 2000
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