A238075 Number of (n+1)X(2+1) 0..3 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

1592, 14456, 132316, 1191324, 10449784, 92535056, 831852752, 7439225960, 65951303220, 586352178784, 5239570638572, 46746052645176, 415832332809312, 3702279407957208, 33018763426054992, 294336790951580044

Offset

1,1

Comments

Column 2 of A238081

Links

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

Formula

Empirical: a(n) = 10*a(n-2) +165*a(n-3) +2783*a(n-4) +8976*a(n-5) +13643*a(n-6) +42570*a(n-7) +93986*a(n-8) +76838*a(n-9) +77637*a(n-10) +18072*a(n-11) -446505*a(n-12) -618063*a(n-13) +36527*a(n-14) +468207*a(n-15) +367938*a(n-16) +266880*a(n-17) +147620*a(n-18) +36465*a(n-19) +9662*a(n-20) +5338*a(n-21) +2364*a(n-22) +174*a(n-23) +20*a(n-24) +48*a(n-25) for n>26

Example

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

Crossrefs

Sequence in context: A049520 A252085 A224948 * A250959 A224943 A045273

Adjacent sequences: A238072 A238073 A238074 * A238076 A238077 A238078

Keyword

nonn

Author

R. H. Hardin, Feb 17 2014

Status

approved