A145452 - OEIS

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A145452

a(n)=(1/(10*Sqrt[2]) ((1 + Sqrt[2])^(3^n) - (1 - Sqrt[2])^(3^n))

1, 197, 1529074009, 715015595589726925478809323773, 73109958817558064847374518951460268418149511794461927024546978118655493358310911623870212081 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`a(n)=(1/(10*Sqrt[2]) ((1 + Sqrt[2])^(3^n) - (1 - Sqrt[2])^(3^n)) a[n+1]= 200 a[n]^3 - 3 a[n] a[0]=1`
	MATHEMATICA	`1) Table[Simplify[Expand[(1/(10 Sqrt[2]) ((1 + Sqrt[2])^(3^n) + (1 - Sqrt[2])^(3^n))]], {n, 0, 5}]` `2) a = {}; k = 1; Do[AppendTo[a, k]; k = 200 k^3 - 3 k, {n, 1, 6}]; a (Artur Jasinski)`
	CROSSREFS	`A006266, A145451` `Sequence in context: A188361 A097733 A114050 * A025375 A031512 A025366` `Adjacent sequences: A145449 A145450 A145451 * A145453 A145454 A145455`
	KEYWORD	`nonn`
	AUTHOR	`Artur Jasinski (grafix(AT)csl.pl), Oct 10 2008`

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Last modified February 13 12:29 EST 2012. Contains 205469 sequences.