A251068 - OEIS

%I #4 Nov 29 2014 18:19:36

%S 14180,379440,6182747,71431719,641508138,4755605792,30334449677,

%T 171552528763,879593013286,4159202993302,18381824623755,

%U 76744270826567,305302958082338,1165526725330804,4295151207693497,15354987635816371

%N Number of (4+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01

%C Row 4 of A251065

%H R. H. Hardin, <a href="/A251068/b251068.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 38*a(n-1) -691*a(n-2) +8006*a(n-3) -66388*a(n-4) +419576*a(n-5) -2101468*a(n-6) +8562488*a(n-7) -28910110*a(n-8) +81971700*a(n-9) -197093994*a(n-10) +404708052*a(n-11) -713198484*a(n-12) +1082053944*a(n-13) -1415611692*a(n-14) +1597131096*a(n-15) -1551815913*a(n-16) +1294677654*a(n-17) -923106107*a(n-18) +558641686*a(n-19) -284224784*a(n-20) +119985952*a(n-21) -41268128*a(n-22) +11267392*a(n-23) -2349056*a(n-24) +351232*a(n-25) -33536*a(n-26) +1536*a(n-27)

%e Some solutions for n=1

%e ..0..2....1..1....0..2....1..1....2..2....2..2....2..2....2..2....2..0....1..2

%e ..1..1....0..1....0..2....0..2....0..2....0..2....0..1....0..1....0..2....0..1

%e ..1..1....0..0....1..0....1..1....1..1....2..0....1..0....1..0....0..1....2..1

%e ..0..2....0..2....0..2....2..2....0..2....0..2....0..1....0..1....0..1....1..2

%e ..1..1....1..2....2..1....0..0....0..2....1..0....1..0....0..0....2..2....2..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014