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A152144
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An 8th-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 + 256*Sin[k*Pi/n]^8), {k, 1, Floor[(n - 1)/2]}].
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0
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1, 1, 1, 121, 31, 2501, 605, 51941, 13361, 1176241, 302621, 26454781, 6770555, 590741581, 151200251, 13200630641, 3380212751, 295159215856, 75579365455, 6599238200081, 1689760311371, 147540134993141, 37778247366211
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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MATHEMATICA
| f[n_] =Product[(1 + 4*Sin[k*Pi/n]^2 + 16*Sin[k*Pi/n]^4 + 64*Sin[k*Pi/n]^6 + 256*Sin[k*Pi/n]^8), {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: A014756 A014748 A197817 * A202003 A109838 A014734
Adjacent sequences: A152141 A152142 A152143 * A152145 A152146 A152147
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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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