A077631 - OEIS

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A077631

Sum of terms in periodic part of continued fraction expansion of square root of -1+3^n.

2, 5, 10, 17, 56, 53, 160, 161, 346, 485, 1850, 1457, 3764, 4373, 13468, 13121, 43572, 39365, 192642, 118097, 226348, 354293, 2646006, 1062881, 1871694 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	FORMULA	`a(2n)=23^n-1; conjecture: if n>1 sqrt(3^(2n+1))<a(2n+1)<sqrt((2n+1)3^(2n+1)). - Benoit Cloitre, Nov 28, 2002`
	MATHEMATICA	`Table[Apply[Plus, Last[ContinuedFraction[Sqrt[ -1+3^u]]]], {u, 1, 25}]`
	CROSSREFS	`Cf. A077624-A077635.` `Sequence in context: A173057 A172114 A146010 * A025223 A177787 A104688` `Adjacent sequences: A077628 A077629 A077630 * A077632 A077633 A077634`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Nov 13 2002`

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Last modified February 17 04:58 EST 2012. Contains 205985 sequences.