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.

A003118 Continued fraction for fifth root of 4.

This page as a plain text file.
%I A003118 M2607 #33 Sep 05 2025 16:55:13
%S A003118 1,3,7,1,2,2,1,2,4,56,1,14,2,1,1,3,5,6,2,1,1,2,1,1,8,1,2,2,1,5,1,4,1,
%T A003118 1,3,3,1,1,3,7,4,1,10,1,2,1,8,2,4,1,1,9,2,2,2,1,2,1,1,1,92,1,26,4,31,
%U A003118 1,2,4,1,62,8,5,1,1,1,2,1,1,63,1,2,5,4,2,1
%N A003118 Continued fraction for fifth root of 4.
%D A003118 H. P. Robinson, Letter to N. J. A. Sloane, Nov 13 1973.N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A003118 Harry J. Smith, <a href="/A003118/b003118.txt">Table of n, a(n) for n = 0..19999</a>
%H A003118 Herman P. Robinson, <a href="/A003116/a003116.pdf">Letter to N. J. A. Sloane, Nov 13 1973</a>.
%H A003118 J. Shallit & N. J. A. Sloane, <a href="/A002949/a002949.pdf">Correspondence 1974-1975</a>
%H A003118 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H A003118 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%e A003118 1.319507910772894259374001971... = 1 + 1/(3 + 1/(7 + 1/(1 + 1/(2 + ...)))). - _Harry J. Smith_, May 11 2009
%t A003118 ContinuedFraction[Surd[4,5],100] (* _Harvey P. Dale_, Sep 05 2025 *)
%o A003118 (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(4^(1/5)); for (n=1, 20000, write("b003118.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, May 11 2009
%Y A003118 Cf. A005533 (decimal expansion).
%K A003118 nonn,cofr,changed
%O A003118 0,2
%A A003118 _N. J. A. Sloane_
%E A003118 Offset changed by _Andrew Howroyd_, Jul 05 2024