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A007212
Oscillates under partition transform.
(Formerly M0307)
4
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
1,2
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
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
Sequence in context: A341697 A242984 A027590 * A027595 A261797 A067590
KEYWORD
nonn,nice
STATUS
approved