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Revision History for A140760

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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.
(history; published version)

#7 by Alois P. Heinz at Mon Feb 05 15:18:15 EST 2018

STATUS

proposed

approved

#6 by Michel Marcus at Mon Feb 05 15:14:31 EST 2018

STATUS

editing

proposed

#5 by Michel Marcus at Mon Feb 05 15:14:22 EST 2018

EXAMPLE

..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

STATUS

proposed

editing

#4 by Andrew Howroyd at Mon Feb 05 14:58:09 EST 2018

STATUS

editing

proposed

#3 by Andrew Howroyd at Mon Feb 05 14:35:33 EST 2018

COMMENTS

Sequences A000041, A002865 and A053445 count numeric partitions. A125106 maps numeric partitions to the natural numbers and has A120 A000120 elements per row. A126441 has A41 A000041 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.

STATUS

approved

editing

#2 by Russ Cox at Sat Mar 31 13:23:39 EDT 2012

AUTHOR

_Alford Arnold (Alford1940(AT)aol.com), _, May 28 2008

Discussion

Sat Mar 31

13:23

OEIS Server: https://oeis.org/edit/global/889

#1 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

NAME

Irregular table of natural numbers (read by columns) which can be mapped to the source partitions described in A053445 and A126441.

DATA

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

OFFSET

1,1

COMMENTS

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.

EXAMPLE

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

CROSSREFS

Cf. A000041, A000120, A002865, A053445, A125106, A126441, A140691, A140692, A140759.

KEYWORD

nonn,tabf

AUTHOR

Alford Arnold (Alford1940(AT)aol.com), May 28 2008

STATUS

approved