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A219812
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Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX4 array
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1
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10, 28, 165, 648, 2237, 7689, 27340, 97483, 336348, 1107489, 3485470, 10546240, 30830180, 87358002, 240482830, 644448160, 1684320795, 4300660348, 10743976755, 26294223619, 63107214528, 148665918680, 344032752665, 782623819472
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = (1/109157555478267925364736000000)*n^29 - (1/342186694289241145344000000)*n^28 + (787/1613165844506422542336000000)*n^27 - (28121/537721948168807514112000000)*n^26 + (3139/811043662396391424000000)*n^25 - (1615309/8272645356443192524800000)*n^24 + (1502119/262029490928064921600000)*n^23 + (2731711/193673971555526246400000)*n^22 - (374857117/32698202989894041600000)*n^21 + (21372946241/32698202989894041600000)*n^20 - (2424466906801/119893410962944819200000)*n^19 + (493103170643/1720958052099686400000)*n^18 + (1734777644986229/344535802030357217280000)*n^17 - (40560447275480497/101334059420693299200000)*n^16 + (18007187160284767/1608477133661798400000)*n^15 - (2403356207292032407/14476294202956185600000)*n^14 + (459337879747512641/1051696587394252800000)*n^13 + (191722386943534913803/4732634643274137600000)*n^12 - (2307514571726310091297/2200840585858252800000)*n^11 + (5045165283615493010633/366806764309708800000)*n^10 - (916210841628863901264941/9917653480390656000000)*n^9 - (11218991275944388882181/94612855873536000000)*n^8 + (62417285070941262690542939/6336278612471808000000)*n^7 - (1010263806187535882917039801/8976394701001728000000)*n^6 + (48281626803788599623807524761/68070993149263104000000)*n^5 - (574880107896908134801205293/226903310497543680000)*n^4 + (17077169474218343729849/5512714054848000)*n^3 + (8439129780213343969333/643149973065600)*n^2 - (47260139138269946039/776363187600)*n + 79013201 for n>12
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EXAMPLE
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Some solutions for n=3
..2..0..0..0....1..0..0..0....1..1..0..0....1..1..0..0....0..0..0..0
..2..2..0..0....2..0..0..0....1..1..0..0....2..1..0..0....1..0..0..0
..2..2..2..2....2..0..0..0....2..2..2..0....2..1..0..0....1..1..2..0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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