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A219770
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Number of nX5 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX5 array
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1
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5, 12, 65, 291, 1229, 4795, 17186, 57060, 177629, 522893, 1463248, 3907906, 9995404, 24562967, 58167281, 133102296, 295046074, 635009083, 1329686297, 2713960089, 5408407498, 10539086474, 20109317083, 37617526854, 69067009601, 124590363723
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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) = (1/11115232128000)*n^17 - (1/326918592000)*n^16 + (1/40864824000)*n^15 + (493/65383718400)*n^14 - (9683/23351328000)*n^13 + (89521/7185024000)*n^12 - (4429/25872000)*n^11 - (1645507/914457600)*n^10 + (728164123/4572288000)*n^9 - (20102513087/4572288000)*n^8 + (17194555969/224532000)*n^7 - (1333369888691/1437004800)*n^6 + (2585848906270391/326918592000)*n^5 - (2492152164682039/54486432000)*n^4 + (1458815480632777/9081072000)*n^3 - (33613023582311/151351200)*n^2 - (38919626189/85085)*n + 1608736 for n>10
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EXAMPLE
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Some solutions for n=3
..0..0..0..1..1....0..0..0..0..1....0..0..0..0..0....0..0..0..0..0
..0..1..1..1..1....0..0..0..1..1....0..0..0..1..1....0..0..0..0..0
..1..1..1..1..1....0..0..1..1..1....0..0..0..1..1....0..1..0..1..1
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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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