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A219522 Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 5Xn array 1
6, 12, 42, 187, 620, 1961, 5799, 16464, 45093, 118742, 300691, 732741, 1722676, 3918437, 8645952, 18545343, 38739703, 78930954, 157075640, 305697694, 582518911, 1088033189, 1994062088, 3589405583, 6351714734, 11059029166 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A219519

LINKS

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

FORMULA

Empirical: a(n) = (1/355687428096000)*n^17 - (1/5230697472000)*n^16 + (109/5230697472000)*n^15 - (157/130767436800)*n^14 + (90269/1494484992000)*n^13 - (62831/28740096000)*n^12 + (2588519/44706816000)*n^11 - (777397/914457600)*n^10 - (916044737/146313216000)*n^9 + (28686685709/36578304000)*n^8 - (716685223739/28740096000)*n^7 + (706660926553/1437004800)*n^6 - (8639582886817583/1307674368000)*n^5 + (6515834137416997/108972864000)*n^4 - (7822371876601/23648625)*n^3 + (2797376086243/3783780)*n^2 + (3572172253921/1531530)*n - 13927221 for n>21

EXAMPLE

Some solutions for n=3

..0..0..1....0..0..0....1..1..1....0..0..0....0..0..1....0..0..0....0..0..0

..0..0..1....0..0..0....1..1..1....0..0..0....0..0..0....0..0..0....0..0..0

..0..0..0....0..0..1....1..1..1....1..0..0....0..0..0....0..0..0....0..0..0

..0..0..0....0..0..0....1..1..1....1..0..0....0..0..0....0..0..0....0..0..1

..0..1..0....0..0..0....1..1..1....1..0..1....1..0..1....1..0..1....1..0..0

CROSSREFS

Sequence in context: A129113 A048025 A120471 * A034529 A121160 A105863

Adjacent sequences:  A219519 A219520 A219521 * A219523 A219524 A219525

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 21 2012

STATUS

approved

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Last modified July 3 16:27 EDT 2022. Contains 355055 sequences. (Running on oeis4.)