A145451 - OEIS

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A145451

a(n)=(1/2) ((1 + Sqrt[2])^(3^n) + (1 - Sqrt[2])^(3^n))

1, 7, 1393, 10812186007, 5055923762956339922096065927393, 516965476521645313412793919264355659075150020437514670946599534039092755401282583412315252007 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`A145451(n)=(1/2)A006266(n)`
	FORMULA	`a(n)=(1/2) ((1 + Sqrt[2])^(3^n) + (1 - Sqrt[2])^(3^n)) a[n+1]= 4 a[n]^3 + 3 a[n] a[0]=1 A145451(n)=(1/2)A006266(n)`
	MATHEMATICA	`1) Table[Simplify[Expand[(1/2) ((1 + Sqrt[2])^(3^n) + (1 - Sqrt[2])^(3^n))]], {n, 0, 5}]` `2) a = {}; k = 1; Do[AppendTo[a, k]; k = 4 k^3 + 3 k, {n, 1, 6}]; a (Artur Jasinski)`
	CROSSREFS	`A006266` `Sequence in context: A190266 A119181 A152518 * A144676 A191957 A125537` `Adjacent sequences: A145448 A145449 A145450 * A145452 A145453 A145454`
	KEYWORD	`nonn`
	AUTHOR	`Artur Jasinski (grafix(AT)csl.pl), Oct 10 2008`

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Last modified February 17 23:49 EST 2012. Contains 206085 sequences.