cp's OEIS Frontend

A007212 Oscillates under partition transform.

%I A007212 M0307 #25 Nov 11 2019 00:03:40
%S A007212 1,2,2,4,4,6,7,11,12,16,18,25,28,36,41,53,59,73,82,102,115,138,155,
%T A007212 186,209,246,275,324,363,420,468,541,605,691,768,877,976,1103,1222,
%U A007212 1380,1530,1716,1895,2122,2343,2609,2872,3192,3514,3890,4269,4716,5172,5697
%N A007212 Oscillates under partition transform.
%C A007212 _Georg Fischer_ observes that A027595 and A007212 appear to be identical - is this a theorem? - _N. J. A. Sloane_, Oct 17 2018
%C A007212 In reply to the above, no they are different, although the first difference probably does not occur until n=5935. The difference arises due to the handling of multiples of 5 in the respective transforms as explained in A027596. In particular, since A007213(50)=5936 while A027595(50)=5935, this sequence will differ from A007212 at n=5935. - Sean A. Irvine, Nov 10 2019
%D A007212 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A007212 Sean A. Irvine, <a href="/A007212/b007212.txt">Table of n, a(n) for n = 1..250</a>
%H A007212 M. Bernstein and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.CO/0205301">Some canonical sequences of integers</a>, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version]
%H A007212 M. Bernstein and N. J. A. Sloane, <a href="/A003633/a003633_1.pdf">Some canonical sequences of integers</a>, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
%H A007212 N. J. A. Sloane, Coordination Sequences, Planing Numbers, and Other Recent Sequences (II), Experimental Mathematics Seminar, Rutgers University, Jan 31 2019, <a href="https://vimeo.com/314786942">Part I</a>, <a href="https://vimeo.com/314790822">Part 2</a>, <a href="https://oeis.org/A320487/a320487.pdf">Slides.</a> (Mentions this sequence)
%H A007212 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%Y A007212 Cf. A007213, A027595.
%K A007212 nonn,nice
%O A007212 1,2
%A A007212 _N. J. A. Sloane_, _Mira Bernstein_