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A206296
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Numbers matched to the Fibonacci polynomials.
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3
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OFFSET
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1,1
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COMMENTS
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The matching is given at A206284. A guide to matched
pairs, (polynomial sequence, integer sequence):
...
polynomial sequence....integer sequence
x^n....................A000040
(x+1)^n................A007188
n*x^(n-1)..............A062457
(1-x^n)/(1-x)..........A002110
n+(n-1)x+...+x^n.......A006939
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LINKS
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Table of n, a(n) for n=1..10.
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EXAMPLE
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Referring to the matching and example at A206284:
1 -> 2
x -> 3
1 + x^2 -> 10
2x + x^3 -> 63
1 + 3x^2 + x^4 -> 2750
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MATHEMATICA
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c[n_] := CoefficientList[Fibonacci[n, x], x]
f[n_] := Product[Prime[k]^c[n][[k]],
{k, 1, Length[c[n]]}]
Table[f[n], {n, 1, 11}] (* A206296 *)
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CROSSREFS
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Cf. A206284.
Sequence in context: A093856 A173097 A088221 * A124923 A088222 A184249
Adjacent sequences: A206293 A206294 A206295 * A206297 A206298 A206299
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling, Feb 05 2012
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STATUS
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approved
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