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Search: id:A152143
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| A152143 |
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A sixth degree product form sequence: a(n)=Product[(1 + 4*Sin[k*Pi/n]^2 + 16*Sin[k*Pi/n]^4 + 64*Sin[k*Pi/n]^6), {k, 1, Floor[(n - 1)/2]}]. |
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+0
1
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| 1, 1, 1, 40, 15, 451, 160, 4901, 1785, 55480, 20295, 630631, 230400, 7152809, 2612233, 81089800, 29614935, 919350379, 335764960, 10423396429, 3806834625, 118178205080, 43161016271, 1339876575119, 489349324800, 15191201606801
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OFFSET
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0,4
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FORMULA
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a(n)=Product[(1 + 4*Sin[k*Pi/n]^2 + 16*Sin[k*Pi/n]^4 + 64*Sin[k*Pi/ n]^6), {k, 1, Floor[(n - 1)/2]}].
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MATHEMATICA
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f[n_] =Product[(1 + 4*Sin[k*Pi/n]^2 + 16*Sin[k*Pi/n]^4 + 64*Sin[k*Pi/n]^6), {k, 1, Floor[(n - 1)/2]}]; a = Table[f[n], {n, 0, 30}]; Round[a]; FullSimplify[ExpandAll[a]]
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CROSSREFS
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Sequence in context: A037937 A126652 A117831 this_sequence A033975 A033360 A029543
Adjacent sequences: A152140 A152141 A152142 this_sequence A152144 A152145 A152146
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Nov 26 2008
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