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.

A002362 Numerators of continued fraction convergents to fifth root of 2.

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%I A002362 M4336 N1815 #32 Jul 05 2024 11:04:13
%S A002362 1,7,8,23,31,54,85,309,7810,8119,40286,128977,427217,3119496,
%T A002362 162641009,165760505,494162019,1648246562,3790655143,58508073707,
%U A002362 120806802557,300121678821,1321293517841,21440817964277,44202929446395,330861324089042,375064253535437
%N A002362 Numerators of continued fraction convergents to fifth root of 2.
%D A002362 D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 67.
%D A002362 P. Seeling, Verwandlung der irrationalen Groesse ... in einen Kettenbruch, Archiv. Math. Phys., 46 (1866), 80-120.
%D A002362 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002362 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002362 Vincenzo Librandi, <a href="/A002362/b002362.txt">Table of n, a(n) for n = 0..999</a>
%t A002362 Numerator[Convergents[2^(1/5), 30]] (* _Vincenzo Librandi_, Sep 08 2013 *)
%o A002362 (PARI) a(n)= contfracpnqn(contfrac(2^(1/5), n+1))[1, 1]; \\ _Michel Marcus_, Sep 07 2013
%Y A002362 Cf. A002361 (denominators), A002950, A005531.
%K A002362 nonn,frac
%O A002362 0,2
%A A002362 _N. J. A. Sloane_
%E A002362 More terms from _Herman P. Robinson_
%E A002362 More terms from _Michel Marcus_, Sep 07 2013
%E A002362 a(26)-a(27) corrected by _Vincenzo Librandi_, Sep 08 2013
%E A002362 Offset changed by _Andrew Howroyd_, Jul 05 2024