A219770 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

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

Offset

1,1

Comments

Column 5 of A219773

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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

Example

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

Crossrefs

Sequence in context: A302182 A363452 A129723 * A246176 A009413 A009429

Adjacent sequences: A219767 A219768 A219769 * A219771 A219772 A219773

Keyword

nonn

Author

R. H. Hardin Nov 27 2012

Status

approved