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Search: id:A114578
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| A114578 |
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Transposition sequence of the dispersion of the composite numbers. |
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+0
3
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| 1, 4, 9, 2, 16, 6, 26, 12, 3, 21, 39, 8, 56, 33, 15, 5, 78, 25, 106, 49, 10, 69, 141, 38, 18, 7, 94, 28, 184, 125, 236, 55, 14, 77, 164, 42, 296, 24, 11, 105, 356, 36, 416, 212, 140, 270, 476, 60, 20, 84, 183, 52, 536, 330, 32, 13, 115, 390, 596, 48, 656, 450, 235
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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A self-inverse permutation of the positive integers.
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FORMULA
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Suppose (as at A114538) that T is a rectangular array consisting of all the positive integers, each exactly once. The transposition sequence of T is obtained by placing T(i, j) in position T(j, i) for all i and j.
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EXAMPLE
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Start with the northwest corner of T:
1 4 9 16 26
2 6 12 21 33
3 8 15 25 38
5 10 18 28 42
a(1)=1 because 1=T(1,1) and T(1,1)=1.
a(2)=4 because 2=T(2,1) and T(1,2)=4.
a(3)=9 because 3=T(3,1) and T(1,3)=9.
a(10)=21 because 10=T(4,2) and T(2,4)=21.
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CROSSREFS
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Cf. A114577.
Sequence in context: A070437 A128204 A079049 this_sequence A135044 A064505 A048798
Adjacent sequences: A114575 A114576 A114577 this_sequence A114579 A114580 A114581
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Dec 09 2005
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