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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A077628 #11 Sep 19 2021 02:20:45
%S A077628 3,4,0,8,14,16,42,32,82,64,270,128,518,256,642,512,2126,1024,7098,
%T A077628 2048,7502,4096,14550,8192,19810,16384,108802,32768,101154,65536,
%U A077628 299166,131072,360298,262144,891666,524288,2128896,1048576,8352642,2097152,4466878
%N A077628 Sum of terms in periodic part of continued fraction expansion of square root of 1+2^n.
%H A077628 Chai Wah Wu, <a href="/A077628/b077628.txt">Table of n, a(n) for n = 1..78</a>
%t A077628 Table[Apply[Plus, Last[ContinuedFraction[Sqrt[1+2^u]]]], {u, 1, 25}]
%t A077628 Join[{3,4,3},Table[Total[ContinuedFraction[Sqrt[1+2^n]][[2]]],{n,4,50}]] (* _Harvey P. Dale_, Oct 03 2016 *)
%Y A077628 Cf. A077624-A077635.
%K A077628 nonn
%O A077628 1,1
%A A077628 _Labos Elemer_, Nov 13 2002
%E A077628 More terms from _Harvey P. Dale_, Oct 03 2016
%E A077628 a(3) corrected by _Chai Wah Wu_, Sep 18 2021