cp's OEIS Frontend

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.

A077638 Sum of terms in periodic part of continued fraction expansion of square root of A051451(n), i.e., sqrt(lcm(1..x)) where x is a prime power from A000961.

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%I A077638 #26 Sep 27 2021 13:03:48
%S A077638 0,2,6,8,18,42,57,105,372,1344,1800,7291,32524,150567,342906,738854,
%T A077638 3298239,20772345,36965663,184510241,1433356755,7840220998,
%U A077638 56906577387,113611483212,843530932394,6257315565011,60692272232438,70311381976766,692150332693349,4888462119949170
%N A077638 Sum of terms in periodic part of continued fraction expansion of square root of A051451(n), i.e., sqrt(lcm(1..x)) where x is a prime power from A000961.
%H A077638 Chai Wah Wu, <a href="/A077638/b077638.txt">Table of n, a(n) for n = 1..37</a>
%e A077638 For A051451(10) = 360360, the periodic part is {3,2,1,132,1,2,3,1200} with 1344 as sum of entries, so a(10) = 1344.
%t A077638 t={A051451(n)} Table[Max[Last[ContinuedFraction[Sqrt[Part[t, u]]]]], {u, 1, 24}]
%Y A077638 Cf. A000961, A051451, A077636-A077637.
%K A077638 nonn
%O A077638 1,2
%A A077638 _Labos Elemer_, Nov 13 2002
%E A077638 a(25)-a(28) from _Ray Chandler_, Jan 16 2009
%E A077638 a(1) corrected and a(29)-a(30) added by _Chai Wah Wu_, Sep 19 2021