A219522 - OEIS

%I #4 Nov 21 2012 05:13:55

%S 6,12,42,187,620,1961,5799,16464,45093,118742,300691,732741,1722676,

%T 3918437,8645952,18545343,38739703,78930954,157075640,305697694,

%U 582518911,1088033189,1994062088,3589405583,6351714734,11059029166

%N 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

%C Row 5 of A219519

%H R. H. Hardin, <a href="/A219522/b219522.txt">Table of n, a(n) for n = 1..210</a>

%F 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

%e Some solutions for n=3

%e ..0..0..1....0..0..0....1..1..1....0..0..0....0..0..1....0..0..0....0..0..0

%e ..0..0..1....0..0..0....1..1..1....0..0..0....0..0..0....0..0..0....0..0..0

%e ..0..0..0....0..0..1....1..1..1....1..0..0....0..0..0....0..0..0....0..0..0

%e ..0..0..0....0..0..0....1..1..1....1..0..0....0..0..0....0..0..0....0..0..1

%e ..0..1..0....0..0..0....1..1..1....1..0..1....1..0..1....1..0..1....1..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 21 2012