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A117808 Primes of the form floor(((2 + sqrt(3))^n + (2 - sqrt(3))^n)/4). 2
3, 13, 181, 2521, 489061, 6811741, 1321442641, 18405321661, 381765135195632792959100810331957408101589361 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Gaukman sequence from Mathworld Mathematica notebook.

Primes among absolute values of A108946.

REFERENCES

Eric Weisstein. "Prime-Generating Polynomial." http://mathworld.wolfram.com/Prime-GeneratingPolynomial.html

LINKS

Table of n, a(n) for n=1..9.

MATHEMATICA

a=Expand[Table[(((2 + Sqrt[3])^#1 + (2 - Sqrt[3])^#1)/4 & )[Prime[n]], {n, 10}]] Floor[a]

CROSSREFS

Sequence in context: A168320 A323134 A081299 * A002065 A302143 A087601

Adjacent sequences:  A117805 A117806 A117807 * A117809 A117810 A117811

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Apr 29 2006

EXTENSIONS

Definition and terms corrected by N. J. A. Sloane, May 21, 2010

STATUS

approved

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Last modified April 18 08:37 EDT 2019. Contains 322209 sequences. (Running on oeis4.)