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A152144
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]}].
0
1, 1, 1, 121, 31, 2501, 605, 51941, 13361, 1176241, 302621, 26454781, 6770555, 590741581, 151200251, 13200630641, 3380212751, 295159215856, 75579365455, 6599238200081, 1689760311371, 147540134993141, 37778247366211
OFFSET
0,4
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]]
CROSSREFS
Sequence in context: A014748 A334058 A197817 * A282344 A249627 A202003
KEYWORD
nonn
AUTHOR
STATUS
approved