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A004741 Concatenation of sequences (1,3,..,2n-1,2n,2n-2,..,2) for n >= 1. +0
2
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)
OFFSET

1,2

COMMENT

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}.

REFERENCES

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.

LINKS

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.

FORMULA

Ordinal transform of A004737. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Aug 28 2006

CROSSREFS

Adjacent sequences: A004738 A004739 A004740 this_sequence A004742 A004743 A004744

Sequence in context: A060642 A049400 A106382 this_sequence A133923 A125158 A112384

KEYWORD

nonn,easy

AUTHOR

R. Muller

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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