A235676 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

2644, 101398, 3824528, 143484144, 5376199876, 201368802704, 7541722428052, 282448223982692, 10578025710796398, 396159194076516486, 14836610532891874266, 555647815868404968230, 20809637555870658166622

Offset

1,1

Comments

Column 5 of A235679

Links

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

Formula

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)

Example

Some solutions for n=2
..1..0..1..0..1..0....0..1..1..0..1..1....1..0..0..0..1..0....0..1..0..1..0..1
..0..0..0..0..1..1....0..1..0..0..1..0....0..1..0..1..1..1....0..1..0..0..0..1
..0..0..0..0..1..0....0..0..1..0..1..0....1..0..1..0..1..0....0..0..0..1..0..1

Crossrefs

Sequence in context: A257183 A257190 A254983 * A235446 A235750 A235813

Adjacent sequences: A235673 A235674 A235675 * A235677 A235678 A235679

Keyword

nonn

Author

R. H. Hardin, Jan 13 2014

Status

approved