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Search: id:A004741
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| A004741 |
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Concatenation of sequences (1,3,..,2n-1,2n,2n-2,..,2) for n >= 1. |
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+0
2
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| 1, 2, 1, 3, 4, 2, 1, 3, 5, 6, 4, 2, 1, 3, 5, 7, 8, 6, 4, 2, 1, 3, 5, 7, 9, 10, 8, 6, 4, 2, 1, 3, 5, 7, 9, 10, 8, 6, 4, 2, 1, 3, 5, 7, 9, 11, 12, 10, 8, 6, 4, 2, 1, 3, 5, 7, 9, 11, 13, 14, 12, 10, 8, 6, 4, 2, 1, 3, 5, 7, 9, 11, 13, 15, 16, 14, 12, 10, 8, 6, 4, 2
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Odd numbers increasing from 1 to 2k-1 followed by even numbers decreasing from 2k to 2.
Also called Smarandache Permutation Sequence.
The ordinal transform of a sequence b_0, b_1, b_2, ... is the sequence a_0, a_1, a_2, ... where a_n is the number of times b_n has occurred in {b_0 ... b_n}.
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REFERENCES
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J. Brown et al., Problem 4619, School Science and Mathematics (USA), Vol. 97(4), 1997, pp. 221-222.
F. Smarandache, "Numerical Sequences", University of Craiova, 1975; [Arizona State University, Special Collection, Tempe, AZ, USA].
F. Smarandache, "Collected Papers", Vol. II, Tempus Publ. Hse., Bucharest, 1996.
F. Smarandache, Sequences of Numbers Involved in Unsolved Problems, Hexis, Phoenix, 2006.
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LINKS
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M. L. Perez et al., eds., Smarandache Notions Journal
F. Smarandache, Collected Papers, Vol. II
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
F. Smarandache, Sequences of Numbers Involved in Unsolved Problems.
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FORMULA
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Ordinal transform of A004737. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Aug 28 2006
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CROSSREFS
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Adjacent sequences: A004738 A004739 A004740 this_sequence A004742 A004743 A004744
Sequence in context: A060642 A049400 A106382 this_sequence A133923 A125158 A112384
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KEYWORD
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nonn,easy
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AUTHOR
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R. Muller
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