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A064364
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Positive integers sorted by A001414(n), the sum of their prime divisors, as the major key and n as the minor key.
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4
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1, 2, 3, 4, 5, 6, 8, 9, 7, 10, 12, 15, 16, 18, 14, 20, 24, 27, 21, 25, 30, 32, 36, 11, 28, 40, 45, 48, 54, 35, 42, 50, 60, 64, 72, 81, 13, 22, 56, 63, 75, 80, 90, 96, 108, 33, 49, 70, 84, 100, 120, 128, 135, 144, 162, 26, 44, 105, 112, 125, 126, 150, 160, 180, 192, 216, 243
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| This is a permutation of the positive integers.
a(1) could be taken as 0 because 1 is not a member of A001414 and one could start with a(0)=1 (see the W. Lang link).
The row length sequence of this array is A000607(n), n>=2.
If the array is [1,0,2,3,4,5,6,6,...] with offset 0 then the row length sequence is A000607(n), n>=0.
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LINKS
| Index entries for sequences that are permutations of the natural numbers
W. Lang: First 16 rows.
H. Havermann: The first 100 sums (complete, a 6 MB file).
H. Havermann: Tables of sum-of-prime-factors sequences (overview with links to the first 50000 sums).
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EXAMPLE
| The triangle reads:
1,
(0,) (see comment in link to "first 16 rows" by W. Lang)
2,
3,
4,
5, 6,
8, 9,
7, 10, 12,
15, 16, 18,
14, 20, 24, 27,
21, 25, 30, 32 36,
11, 28, 40, 45, 48, 54,
35, 42, 50, 60, 64, 72, 81,
13, 22, 56, 63, 75, 80, 90, 96, 108,
...
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CROSSREFS
| Cf. A001414.
Cf. A000607 (row lengths), A002098 (row sums), A056240 (least = first term in the n-th row), A000792 (greatest term in the n-th row).
Sequence in context: A130916 A003965 A097502 * A195184 A194842 A194912
Adjacent sequences: A064361 A064362 A064363 * A064365 A064366 A064367
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KEYWORD
| easy,nonn,tabf
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AUTHOR
| Howard A. Landman (howard(AT)polyamory.org), Sep 25 2001
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 27 2005
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