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A220927
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Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 nX3 array
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1
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10, 41, 283, 1448, 6687, 29847, 128985, 528548, 2040761, 7473305, 26161231, 87951899, 284648868, 888502064, 2680360507, 7832561949, 22221791738, 61339985932, 165058105622, 433724300901, 1114689972046, 2805892577013
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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) = (1/523022617466601111760007224100074291200000000)*n^38 + (1/9175835394150896697543986387720601600000000)*n^37 - (1/43763920798811907937411699782451200000000)*n^36 + (59/27555061243696386479111070233395200000000)*n^35 + (307/1968218660264027605650790730956800000000)*n^34 - (1549/57888784125412576636787962675200000000)*n^33 + (1624193/994634563609361544032084085964800000000)*n^32 + (121589/1961803872996768331424228966400000000)*n^31 - (862211087/64169971845765260905295747481600000000)*n^30 + (334940077/419411580691276215067292467200000000)*n^29 + (881602781/386354510291963804027505868800000000)*n^28 - (1123886873/366908366848968474859929600000000)*n^27 + (15952682958133/81134447161312398845776232448000000)*n^26 - (894295004698811/270448157204374662819254108160000000)*n^25 - (228156596853291101/811344471613123988457762324480000000)*n^24 + (5101733059113811/230561088835784026273873920000000)*n^23 - (692780969776572349/1153803544130590192089169920000000)*n^22 - (2243838262686431231/384601181376863397363056640000000)*n^21 + (757680056062692907691431/731172092995226361139801620480000000)*n^20 - (581959953416778427639843/16774528449283195869604085760000000)*n^19 + (5511354224236467062364481117/17990681761856227570150381977600000000)*n^18 + (40879216835452378507072451/2449711568880205279159910400000000)*n^17 - (236826152119988143815376123/335377179072885246551654400000000)*n^16 + (6642578071741399997758170841/619157869057634301326131200000000)*n^15 + (28405985333085798680701919749417/760635442137303739179152179200000000)*n^14 - (2151776489142623183168814040553/466075638564524349987225600000000)*n^13 + (1424091974719336255283095572327437/17287169139484175890435276800000000)*n^12 - (800612498869091029720619190616727/1920796571053797321159475200000000)*n^11 - (4966763411298100637669295860759843/568398985311837982792089600000000)*n^10 + (10551986050476453738601614474489679/55261012460873137215897600000000)*n^9 - (3981523334369030919774590230531163843/2748084098835503719465574400000000)*n^8 - (568854062299140169791514988575529/460547025110692763443200000000)*n^7 + (190860909288639665111491234401381180257/1557247656006785441030492160000000)*n^6 - (4867354810542169054981510999137717857/4325687933352181780640256000000)*n^5 + (1778619289191249601556249307356327/363503187676653931146240000)*n^4 - (253662472663677656114377414621/29473606296279365220000)*n^3 - (178529187999606526995551083121/28268061177142554768000)*n^2 + (1518270092662877319067/58075341924600)*n + 29455077 for n>15
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EXAMPLE
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Some solutions for n=3
..0..0..0....0..0..1....0..0..0....0..0..3....2..0..0....1..1..1....0..0..1
..0..0..1....0..1..1....0..0..1....0..0..3....0..0..0....1..1..3....0..1..3
..1..1..3....1..2..3....3..1..1....0..3..3....0..0..3....1..3..3....2..3..3
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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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