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.

A002355 Denominators of convergents to cube root of 4.

This page as a plain text file.
%I A002355 M1407 N0549 #28 Jul 04 2024 20:01:15
%S A002355 1,1,2,5,12,17,63,143,492,635,2397,3032,93357,96389,478913,575302,
%T A002355 1629517,15240955,93075247,387541943,480617190,868159133,2216935456,
%U A002355 16386707325,34990350106,121357757643,277705865392,399063623035,2672087603602,3071151226637
%N A002355 Denominators of convergents to cube root of 4.
%D A002355 D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 67.
%D A002355 P. Seeling, Verwandlung der irrationalen Groesse ... in einen Kettenbruch, Archiv. Math. Phys., 46 (1866), 80-120.
%D A002355 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002355 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002355 Vincenzo Librandi, <a href="/A002355/b002355.txt">Table of n, a(n) for n = 0..999</a>
%t A002355 Denominator[Convergents[Power[4, (3)^-1], 30]] (* _Vincenzo Librandi_, Aug 24 2013 *)
%o A002355 (PARI) a(n) = contfracpnqn(contfrac(4^(1/3), n))[2, 1]; \\ _Michel Marcus_, Aug 23 2013
%Y A002355 Cf. A002356 (numerators), A005480.
%K A002355 nonn,frac
%O A002355 0,3
%A A002355 _N. J. A. Sloane_, _Herman P. Robinson_
%E A002355 More terms from _Vincenzo Librandi_, Aug 24 2013
%E A002355 Offset changed by _Andrew Howroyd_, Jul 04 2024