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A161924
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Permutation of natural numbers: sequence A126441 without zeros.
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15
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1, 2, 3, 4, 5, 7, 8, 9, 6, 11, 15, 16, 17, 10, 19, 13, 23, 31, 32, 33, 18, 35, 12, 21, 14, 39, 27, 47, 63, 64, 65, 34, 67, 20, 37, 22, 71, 25, 43, 29, 79, 55, 95, 127, 128, 129, 66, 131, 36, 69, 38, 135, 24, 41, 26, 75, 45, 30, 143, 51, 87, 59, 159, 111, 191, 255, 256
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OFFSET
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1,2
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COMMENTS
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Values appear in the order determined by A004760(n+1)and A062383(n).
The graph of this sequence looks very elegant.
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LINKS
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A. Karttunen, Table of n, a(n) for n = 1..1596 (first 18 rows)
Index entries for sequences that are permutations of the natural numbers
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EXAMPLE
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The table begins:
1.2.4..8.16.32.64.128.256.512.1024
..3.5..9.17.33.65.129.257.513.1025
.......6.10.18.34..66.130.258..514
....7.11.19.35.67.131.259.515.1027
............12.20..36..68.132..260
.........13.21.37..69.133.261..517
............14.22..38..70.134..262
......15.23.39.71.135.263.519.1031
...................24..40..72..136
...............25..41..73.137..265
...................26..42..74..138
............27.43..75.139.267..523
.......................28..44...76
...............29..45..77.141..269
...................30..46..78..142
.........31.47.79.143.271.527.1039
...........................48...80
.......................49..81..145
...........................50...82
...................51..83.147..275
This can be viewed as an irregular table, where row r (>= 1) has A000041(r) elements, that is, as 1; 2,3; 4,5,7; 8,9,6,11,15; 16,17,10,19,13,23,31; etc. A125106 illustrates how each number is mapped to a partition.
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CROSSREFS
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Inverse: A166276. a(n) = A126441(A166274(n)). See A161919 for the version with each row sorted into ascending order.
A161511(a(n)) = A036042(n).
Sequence in context: A107900 A112922 A133017 * A034153 A004725 A129487
Adjacent sequences: A161921 A161922 A161923 * A161925 A161926 A161927
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KEYWORD
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nonn,tabf
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AUTHOR
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Alford Arnold, Jun 23 2009
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EXTENSIONS
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Edited and extended by Antti Karttunen, Oct 12 2009
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STATUS
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approved
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