A165436
Number of penta-coverings of a set.
Original entry on oeis.org
1, 1, 6, 150, 15791, 5442547, 4762077620, 8738543204786, 29476338150380267, 166824392081434701613, 1483193888081012069795493, 19709785177023094680286421698, 376477754511485610186131980496220, 10014420201202866850432679446597128835
Offset: 0
A188389
Number of (5*n) X 5 binary arrays with rows in nonincreasing order and n ones in every column.
Original entry on oeis.org
52, 1750, 35775, 507549, 5442547, 46757209, 335279744, 2067951459, 11224133015, 54571222450, 241058398756, 978630346891, 3686088206746, 12983700750813, 43054563334197, 135177521790982, 403818954811225, 1152699706324158
Offset: 1
Some solutions for 10 X 5:
..1..0..0..0..1....1..1..0..1..0....1..1..1..1..1....1..1..0..0..0
..1..0..0..0..0....1..0..0..1..0....1..0..1..0..0....1..1..0..0..0
..0..1..0..1..1....0..1..0..0..0....0..1..0..0..0....0..0..1..1..1
..0..1..0..0..0....0..0..1..0..0....0..0..0..1..0....0..0..1..1..0
..0..0..1..0..0....0..0..1..0..0....0..0..0..0..1....0..0..0..0..1
..0..0..1..0..0....0..0..0..0..1....0..0..0..0..0....0..0..0..0..0
..0..0..0..1..0....0..0..0..0..1....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
A165437
The number of six-fold coverings of a set.
Original entry on oeis.org
1, 1, 7, 256, 52450, 46757209, 135029200594, 992649275638900, 15637211080656145509, 468371757818481922636261, 24491541042280069722306974244, 2097907014780540445950132842480077, 280173584370772226399860619059838944713, 56066456120812871209756615894736908159099853
Offset: 0
A188388
Number of (n^2) X n binary arrays with rows in nonincreasing order and n ones in every column.
Original entry on oeis.org
1, 3, 39, 4079, 5442547, 135029200594, 85864898797026630, 1831628658711424019558504, 1644974303630818355119787542346815, 75615488905118998567211473141942014485626339
Offset: 1
All solutions for 4X2
..1..1....1..0....1..1
..1..1....1..0....1..0
..0..0....0..1....0..1
..0..0....0..1....0..0
A188390
Number of (6*n) X 6 binary arrays with rows in nonincreasing order and n ones in every column.
Original entry on oeis.org
203, 29388, 2406208, 127126912, 4762077620, 135029200594, 3037611501499, 56145844958803, 875963221085790, 11783651978066917, 139046229227207511, 1459663879628065055, 13793467053380688310, 118506173536216683338
Offset: 1
Some solutions for 12 X 6:
..1..1..0..0..0..1....1..1..0..1..1..0....1..1..0..0..1..0....1..1..0..0..0..1
..1..0..1..0..1..0....1..0..0..0..0..0....1..0..0..0..0..0....1..0..1..1..1..0
..0..1..0..1..1..0....0..1..1..0..0..1....0..1..1..0..0..0....0..1..0..0..0..0
..0..0..1..0..0..1....0..0..1..0..0..1....0..0..1..0..1..0....0..0..1..0..0..0
..0..0..0..1..0..0....0..0..0..1..1..0....0..0..0..1..0..1....0..0..0..1..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..1..0..1....0..0..0..0..1..1
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
A188391
Number of (7*n) X 7 binary arrays with rows in nonincreasing order and n ones in every column.
Original entry on oeis.org
877, 624889, 238773109, 55643064708, 8738543204786, 992649275638900, 85864898797026630, 5878897478976883089, 328290088245117576091, 15312799057782368782624, 608266461487720680703265, 20908600183730320082374280
Offset: 1
Some solutions for 14 X 7:
..1..0..0..0..0..0..0....1..0..0..0..1..0..1....1..0..0..1..0..0..1
..1..0..0..0..0..0..0....1..0..0..0..1..0..0....1..0..0..0..0..0..0
..0..1..1..0..0..0..0....0..1..0..1..0..0..0....0..1..0..0..0..0..0
..0..1..0..0..0..0..1....0..1..0..0..0..0..0....0..1..0..0..0..0..0
..0..0..1..0..0..0..1....0..0..1..1..0..1..0....0..0..1..1..0..0..1
..0..0..0..1..1..1..0....0..0..1..0..0..0..0....0..0..1..0..0..0..0
..0..0..0..1..0..0..0....0..0..0..0..0..1..0....0..0..0..0..1..1..0
..0..0..0..0..1..1..0....0..0..0..0..0..0..1....0..0..0..0..1..1..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
A188393
Number of (7*n) X n binary arrays with rows in nonincreasing order and 7 ones in every column.
Original entry on oeis.org
1, 8, 410, 154279, 335279744, 3037611501499, 85864898797026630, 6108049486793195602061, 940799711096710781211340486, 282034644651263093966900548272466, 152112222253533154849862379093617650250, 138939503191252353429488898422015410111981523
Offset: 1
All solutions for 14 X 2:
..1..1....1..0....1..1....1..1....1..1....1..1....1..1....1..1
..1..1....1..0....1..1....1..0....1..1....1..1....1..1....1..1
..1..1....1..0....1..1....1..0....1..0....1..1....1..1....1..1
..1..1....1..0....1..1....1..0....1..0....1..1....1..0....1..1
..1..1....1..0....1..0....1..0....1..0....1..1....1..0....1..1
..1..1....1..0....1..0....1..0....1..0....1..1....1..0....1..0
..1..1....1..0....1..0....1..0....1..0....1..0....1..0....1..0
..0..0....0..1....0..1....0..1....0..1....0..1....0..1....0..1
..0..0....0..1....0..1....0..1....0..1....0..0....0..1....0..1
..0..0....0..1....0..1....0..1....0..1....0..0....0..1....0..0
..0..0....0..1....0..0....0..1....0..1....0..0....0..1....0..0
..0..0....0..1....0..0....0..1....0..1....0..0....0..0....0..0
..0..0....0..1....0..0....0..1....0..0....0..0....0..0....0..0
..0..0....0..1....0..0....0..0....0..0....0..0....0..0....0..0
A188394
Number of (8*n) X n binary arrays with rows in nonincreasing order and 8 ones in every column.
Original entry on oeis.org
1, 9, 625, 411180, 2067951459, 56145844958803, 5878897478976883089, 1831628658711424019558504, 1413561739206881774907508536243, 2374109597657754735102006133988615563, 7893915426933380799680357236645251399639715, 48348427353106609781034833166459980023688120512638
Offset: 1
All solutions for 16 X 2:
..1..1....1..1....1..1....1..1....1..0....1..1....1..1....1..1....1..1
..1..1....1..1....1..0....1..1....1..0....1..1....1..1....1..1....1..1
..1..1....1..1....1..0....1..0....1..0....1..1....1..1....1..1....1..1
..1..1....1..1....1..0....1..0....1..0....1..1....1..1....1..0....1..1
..1..1....1..1....1..0....1..0....1..0....1..1....1..0....1..0....1..1
..1..1....1..0....1..0....1..0....1..0....1..1....1..0....1..0....1..1
..1..1....1..0....1..0....1..0....1..0....1..0....1..0....1..0....1..1
..1..1....1..0....1..0....1..0....1..0....1..0....1..0....1..0....1..0
..0..0....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
..0..0....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..0
..0..0....0..1....0..1....0..1....0..1....0..0....0..1....0..1....0..0
..0..0....0..0....0..1....0..1....0..1....0..0....0..1....0..1....0..0
..0..0....0..0....0..1....0..1....0..1....0..0....0..0....0..1....0..0
..0..0....0..0....0..1....0..1....0..1....0..0....0..0....0..0....0..0
..0..0....0..0....0..1....0..0....0..1....0..0....0..0....0..0....0..0
..0..0....0..0....0..0....0..0....0..1....0..0....0..0....0..0....0..0
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