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Search: id:A152144
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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
1
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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
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OFFSET
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0,4
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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 + 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
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Sequence in context: A079842 A014756 A014748 this_sequence A109838 A014734 A137517
Adjacent sequences: A152141 A152142 A152143 this_sequence A152145 A152146 A152147
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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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