A219701 Number of nX5 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..1 nX5 array

5, 9, 45, 158, 518, 1648, 5007, 14438, 39672, 104598, 266066, 654865, 1562327, 3617918, 8142834, 17834820, 38060775, 79238739, 161130031, 320412547, 623782761, 1190206617, 2228054743, 4096067946, 7401902650, 13159096823

Offset

1,1

Comments

Column 5 of A219704

Links

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

Formula

Empirical: a(n) = (1/88921857024000)*n^17 - (1/1162377216000)*n^16 + (31/653837184000)*n^15 - (197/174356582400)*n^14 - (4001/373621248000)*n^13 + (577/236544000)*n^12 - (2904113/25147584000)*n^11 + (800927/243855360)*n^10 - (2143102117/36578304000)*n^9 + (11942386187/24385536000)*n^8 + (5154831961/898128000)*n^7 - (86591775469/319334400)*n^6 + (264385484044277/54486432000)*n^5 - (11802550744248367/217945728000)*n^4 + (3653502793034617/9081072000)*n^3 - (589380100276909/302702400)*n^2 + (4888713642409/875160)*n - 7237310 for n>11

Example

Some solutions for n=3
..0..0..0..1..1....0..0..0..0..1....0..0..0..0..1....0..0..0..0..0
..0..0..1..1..1....0..0..0..0..1....0..0..0..1..1....0..0..0..0..0
..0..0..1..1..1....1..0..0..1..1....0..0..0..1..1....1..1..0..0..1

Crossrefs

Sequence in context: A149500 A149501 A149502 * A088974 A105182 A100457

Adjacent sequences: A219698 A219699 A219700 * A219702 A219703 A219704

Keyword

nonn

Author

R. H. Hardin Nov 25 2012

Status

approved