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Search: id:A140760
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| A140760 |
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Irregular table of natural numbers (read by columns) which can be mapped to the source partitions described in A053445 and A126441. |
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+0
2
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| 2, 6, 12, 14, 24, 26, 30, 28, 48, 50, 54, 62, 52, 58, 96, 56, 60, 98, 102, 110, 126, 100, 106, 118, 192, 104, 108, 194, 114, 122, 198, 206, 222, 254, 112, 124, 116, 196, 202, 214, 238, 384, 120, 200, 204, 386, 210, 218, 390, 230, 246, 398, 414, 446, 510
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Sequences A000041, A002865 and A053445 count numeric partitions. A125106 maps numeric partitions to the natural numbers and has A120 elements per row. A126441 has A41 elements per column and is a tabular arrangement of the natural numbers. A140691 is a rearrangement of table A126441. A140692 extracts the cyclic cases and has A002865 elements per column.
The values for A140760 can also be generated by beginning with A140759 and repeatedly multiplying by two as follows:
2
....6.....12......24.....48.....96
..........14..........28........56
..................26........52....
..................30............60
.........................50.......
.........................54.......
.........................62.......
Note that the number of entries in each column is given by A053445.
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EXAMPLE
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The values of A140760 can be obtained by selecting the first even number on each applicable row of Table A126441.
Table A126441 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
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CROSSREFS
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Cf. A000041, A000120, A002865, A053445, A125106, A126441, A140691, A140692, A140759.
Sequence in context: A079849 A057895 A111369 this_sequence A161922 A027863 A152301
Adjacent sequences: A140757 A140758 A140759 this_sequence A140761 A140762 A140763
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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), May 28 2008
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