A235676 - OEIS

%I #4 Jan 13 2014 10:52:13

%S 2644,101398,3824528,143484144,5376199876,201368802704,7541722428052,

%T 282448223982692,10578025710796398,396159194076516486,

%U 14836610532891874266,555647815868404968230,20809637555870658166622

%N Number of (n+1)X(5+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise

%C Column 5 of A235679

%H R. H. Hardin, <a href="/A235676/b235676.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 41*a(n-1) +24*a(n-2) -6193*a(n-3) +1924*a(n-4) +381751*a(n-5) -34904*a(n-6) -12528996*a(n-7) -2476249*a(n-8) +242251344*a(n-9) +95519778*a(n-10) -2921868601*a(n-11) -1424979978*a(n-12) +22890929984*a(n-13) +11443851546*a(n-14) -120327943002*a(n-15) -54753628073*a(n-16) +436238929060*a(n-17) +163082200640*a(n-18) -1115185281644*a(n-19) -305053074990*a(n-20) +2042426147637*a(n-21) +343600635845*a(n-22) -2705840889861*a(n-23) -185737078719*a(n-24) +2604257684139*a(n-25) -47132369846*a(n-26) -1821805821961*a(n-27) +160826214615*a(n-28) +924348718445*a(n-29) -130102603524*a(n-30) -338651235030*a(n-31) +59527885849*a(n-32) +88904498941*a(n-33) -17255577437*a(n-34) -16505197234*a(n-35) +3241956946*a(n-36) +2117356442*a(n-37) -388930038*a(n-38) -180086494*a(n-39) +28441700*a(n-40) +9406424*a(n-41) -1167836*a(n-42) -259016*a(n-43) +24152*a(n-44) +2624*a(n-45) -224*a(n-46)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 13 2014