A007212 Oscillates under partition transform.

1, 2, 2, 4, 4, 6, 7, 11, 12, 16, 18, 25, 28, 36, 41, 53, 59, 73, 82, 102, 115, 138, 155, 186, 209, 246, 275, 324, 363, 420, 468, 541, 605, 691, 768, 877, 976, 1103, 1222, 1380, 1530, 1716, 1895, 2122, 2343, 2609, 2872, 3192, 3514, 3890, 4269, 4716, 5172, 5697

Offset: 1

Author

N. J. A. Sloane, Mira Bernstein

Keywords

• nonn
• nice

Comments

Georg Fischer observes that A027595 and A007212 appear to be identical - is this a theorem? - N. J. A. Sloane, Oct 17 2018

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

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..250
• M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version]
• M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
• N. J. A. Sloane, Coordination Sequences, Planing Numbers, and Other Recent Sequences (II), Experimental Mathematics Seminar, Rutgers University, Jan 31 2019, Part I, Part 2, Slides. (Mentions this sequence)
• N. J. A. Sloane, Transforms

Crossrefs

Cf. A007213, A027595.