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A152142
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A quartic-product sequence: a(n)=Product[(1 + 4*Sin[k*Pi/n]^2 + 16*Sin[k*Pi/n]^4), {k, 1, Floor[(n - 1)/2]}].
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0
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1, 1, 1, 13, 7, 76, 39, 421, 217, 2353, 1216, 13201, 6825, 74101, 38311, 415948, 215047, 2334781, 1207089, 13105441, 6775552, 73562593, 38032081, 412916701, 213479175, 2317756876, 1198287271, 13009880533, 6726147337, 73026206161
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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FORMULA
| a(n)=Product[(1 + 4*Sin[k*Pi/n]^2 + 16*Sin[k*Pi/n]^4), {k, 1, Floor[(n - 1)/2]}].
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MATHEMATICA
| f[n_] = Product[(1 + 4*Sin[k*Pi/n]^2 + 16*Sin[k*Pi/n]^4), {k, 1, Floor[(n - 1)/2]}]; a = Table[f[n], {n, 0, 30}]; Round[a]; FullSimplify[ExpandAll[a]]
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CROSSREFS
| Sequence in context: A133723 A095389 A206611 * A177427 A110056 A159562
Adjacent sequences: A152139 A152140 A152141 * A152143 A152144 A152145
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KEYWORD
| nonn
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AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Nov 26 2008
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