A253529 Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically

7253, 27070, 62237, 182493, 398710, 949158, 2008246, 4342893, 8951319, 18483480, 37447005, 75653443, 151756020, 303701337, 606456423, 1209715276, 2412487047, 4810079658, 9594345755, 19140473863, 38203883340, 76274256635, 152344233515

Offset

1,1

Comments

Column 4 of A253533

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -13*a(n-2) -19*a(n-3) +95*a(n-4) -59*a(n-5) -197*a(n-6) +313*a(n-7) +89*a(n-8) -505*a(n-9) +221*a(n-10) +343*a(n-11) -347*a(n-12) -41*a(n-13) +185*a(n-14) -61*a(n-15) -28*a(n-16) +22*a(n-17) -4*a(n-18) for n>31

Example

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

Crossrefs

Sequence in context: A031763 A272160 A093224 * A297880 A084276 A152502

Adjacent sequences: A253526 A253527 A253528 * A253530 A253531 A253532

Keyword

nonn

Author

R. H. Hardin, Jan 03 2015

Status

approved