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Search: id:A161919
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| A161919 |
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Permutation of natural numbers: concatenation of subsequences A161924(A000070(k-1)..A026905(k)), k>=1, each sorted into ascending order. |
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3
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| 1, 2, 3, 4, 5, 7, 6, 8, 9, 11, 15, 10, 13, 16, 17, 19, 23, 31, 12, 14, 18, 21, 27, 32, 33, 35, 39, 47, 63, 20, 22, 25, 29, 34, 37, 43, 55, 64, 65, 67, 71, 79, 95, 127, 24, 26, 30, 36, 38, 41, 45, 51, 59, 66, 69, 75, 87, 111, 128, 129, 131, 135, 143, 159, 191, 255, 28, 40
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This is the lexicographically first sequence a_n for which it holds that A161511(a(n)) = A036042(n) for all n.
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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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This can be viewed as an irregular table, where row r (>= 1) has A000041(r) elements, i.e. as 1; 2,3; 4,5,7; 6,8,9,11,15; 10,13,16,17,19,23,31; etc. A125106 illustrates how each number is mapped to a partition.
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CROSSREFS
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Inverse: A166277. Sequence A161924 gives the same rows before sorting.
Sequence in context: A160018 A100806 A102451 this_sequence A095903 A166277 A145342
Adjacent sequences: A161916 A161917 A161918 this_sequence A161920 A161921 A161922
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KEYWORD
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nonn,tabf
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Jun 23 2009
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EXTENSIONS
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Edited and extended by Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Oct 12 2009
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