A237482 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock equal

256, 1464, 8770, 55318, 357516, 2371070, 15989568, 109427750, 756426182, 5270764010, 36928327652, 259801640390, 1832994682512, 12959452955886, 91756839230262, 650341057828618, 4612715227919740, 32733695978222310

Offset

1,1

Comments

Column 1 of A237488

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -4*a(n-2) -1098*a(n-3) +3534*a(n-4) +31470*a(n-5) -150217*a(n-6) -486590*a(n-7) +3128470*a(n-8) +4294420*a(n-9) -39521216*a(n-10) -19320464*a(n-11) +327973152*a(n-12) +737184*a(n-13) -1854427888*a(n-14) +533348544*a(n-15) +7251415712*a(n-16) -3402001408*a(n-17) -19611340544*a(n-18) +11522415744*a(n-19) +36170099200*a(n-20) -24140262144*a(n-21) -44042097664*a(n-22) +31789007872*a(n-23) +33267746816*a(n-24) -25107318784*a(n-25) -13828251648*a(n-26) +10436419584*a(n-27) +2480766976*a(n-28) -1587019776*a(n-29) -155189248*a(n-30)

Example

Some solutions for n=4
..3..3....0..0....2..1....2..1....0..3....3..2....3..2....0..1....2..2....2..1
..0..0....0..3....3..1....3..0....2..2....1..2....2..1....1..3....1..1....3..3
..3..3....1..0....1..1....3..1....2..1....3..0....2..1....0..3....2..2....1..2
..0..0....0..3....1..3....0..1....2..2....1..2....2..3....2..1....1..1....3..3
..0..3....3..0....2..1....1..3....1..0....3..2....2..1....0..0....3..0....2..3

Crossrefs

Sequence in context: A237951 A237946 A237488 * A237150 A237143 A333606

Adjacent sequences: A237479 A237480 A237481 * A237483 A237484 A237485

Keyword

nonn

Author

R. H. Hardin, Feb 08 2014

Status

approved