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.

A002356 Numerators of convergents to cube root of 4.

This page as a plain text file.
%I A002356 M0881 N0335 #27 Jul 04 2024 20:01:29
%S A002356 1,2,3,8,19,27,100,227,781,1008,3805,4813,148195,153008,760227,913235,
%T A002356 2586697,24193508,147747745,615184488,762932233,1378116721,3519165675,
%U A002356 26012276446,55543718567,192643432147,440830582861,633474015008,4241674672909,4875148687917
%N A002356 Numerators of convergents to cube root of 4.
%D A002356 D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 67.
%D A002356 P. Seeling, Verwandlung der irrationalen Groesse ... in einen Kettenbruch, Archiv. Math. Phys., 46 (1866), 80-120.
%D A002356 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002356 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002356 Vincenzo Librandi, <a href="/A002356/b002356.txt">Table of n, a(n) for n = 0..999</a>
%t A002356 Numerator[Convergents[Power[4, (3)^-1], 30]] (* _Vincenzo Librandi_, Aug 24 2013 *)
%o A002356 (PARI) a(n) = contfracpnqn(contfrac(4^(1/3), n))[1][1]; \\ _Michel Marcus_, Aug 23 2013
%Y A002356 Cf. A002355 (denominators), A005480.
%K A002356 nonn,frac
%O A002356 0,2
%A A002356 _N. J. A. Sloane_
%E A002356 More terms from _Herman P. Robinson_
%E A002356 More terms from _Vincenzo Librandi_, Aug 24 2013
%E A002356 Offset changed by _Andrew Howroyd_, Jul 04 2024