A251153 Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements

3374, 148833, 6441563, 280327551, 12175291327, 529076339144, 22986742140730, 998750677876750, 43393991884910603, 1885402066984177466, 81917694336411656647, 3559193740111874928140, 154641296261630061509877

Offset

1,1

Comments

Column 3 of A251158

Links

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

Formula

Empirical: a(n) = 41*a(n-1) +374*a(n-2) -11137*a(n-3) -43917*a(n-4) +951280*a(n-5) +2263876*a(n-6) -40034249*a(n-7) -50359104*a(n-8) +910438947*a(n-9) +326025243*a(n-10) -11493598836*a(n-11) +3575878139*a(n-12) +76798067297*a(n-13) -49959968631*a(n-14) -288074117355*a(n-15) +236004606406*a(n-16) +628148761942*a(n-17) -645102616147*a(n-18) -517231514411*a(n-19) +766300926808*a(n-20) -173888708937*a(n-21) -169536054835*a(n-22) +208505069033*a(n-23) -33672175492*a(n-24) -44398300500*a(n-25) +91080733749*a(n-26) -59835758002*a(n-27) -95630937412*a(n-28) +63893438960*a(n-29) +20635533088*a(n-30) -8099640060*a(n-31) +775817849*a(n-32) +8582552*a(n-33) -1036147776*a(n-34) -440219968*a(n-35) -83077760*a(n-36) -864000*a(n-37)

Example

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

Crossrefs

Sequence in context: A052357 A218908 A164521 * A305500 A250568 A183823

Adjacent sequences: A251150 A251151 A251152 * A251154 A251155 A251156

Keyword

nonn

Author

R. H. Hardin, Nov 30 2014

Status

approved