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

%I #11 Sep 19 2021 02:20:45

%S 3,4,0,8,14,16,42,32,82,64,270,128,518,256,642,512,2126,1024,7098,

%T 2048,7502,4096,14550,8192,19810,16384,108802,32768,101154,65536,

%U 299166,131072,360298,262144,891666,524288,2128896,1048576,8352642,2097152,4466878

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

%H Chai Wah Wu, <a href="/A077628/b077628.txt">Table of n, a(n) for n = 1..78</a>

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

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

%Y Cf. A077624-A077635.

%K nonn

%O 1,1

%A _Labos Elemer_, Nov 13 2002

%E More terms from _Harvey P. Dale_, Oct 03 2016

%E a(3) corrected by _Chai Wah Wu_, Sep 18 2021

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Last modified March 28 13:35 EDT 2024. Contains 371254 sequences. (Running on oeis4.)