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A077628 Sum of terms in periodic part of continued fraction expansion of square root of 1+2^n. 0
3, 4, 3, 8, 14, 16, 42, 32, 82, 64, 270, 128, 518, 256, 642, 512, 2126, 1024, 7098, 2048, 7502, 4096, 14550, 8192, 19810, 16384, 108802, 32768, 101154, 65536, 299166, 131072, 360298, 262144, 891666, 524288, 2128896, 1048576, 8352642, 2097152, 4466878 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..41.

MATHEMATICA

Table[Apply[Plus, Last[ContinuedFraction[Sqrt[1+2^u]]]], {u, 1, 25}]

Join[{3, 4, 3}, Table[Total[ContinuedFraction[Sqrt[1+2^n]][[2]]], {n, 4, 50}]] (* Harvey P. Dale, Oct 03 2016 *)

CROSSREFS

Cf. A077624-A077635.

Sequence in context: A265723 A134065 A015887 * A158134 A184853 A174280

Adjacent sequences:  A077625 A077626 A077627 * A077629 A077630 A077631

KEYWORD

nonn

AUTHOR

Labos Elemer, Nov 13 2002

EXTENSIONS

More terms from Harvey P. Dale, Oct 03 2016

STATUS

approved

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Last modified July 27 18:27 EDT 2021. Contains 346308 sequences. (Running on oeis4.)