A077628 Sum of terms in periodic part of continued fraction expansion of square root of 1+2^n.

3, 4, 0, 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

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..78

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: A049251 A308642 A158674 * A213280 A056862 A113035

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

a(3) corrected by Chai Wah Wu, Sep 18 2021

Status

approved