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A253528 Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically 1
1963, 9255, 22418, 62237, 142679, 327147, 700492, 1477077, 3032758, 6133637, 12288617, 24390278, 48315319, 95291840, 188147188, 371030185, 733190192, 1449380597, 2871171233, 5693041370, 11308044039, 22483109832, 44759818386 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A253533

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) -28*a(n-2) +14*a(n-3) +120*a(n-4) -268*a(n-5) +16*a(n-6) +648*a(n-7) -734*a(n-8) -370*a(n-9) +1320*a(n-10) -604*a(n-11) -812*a(n-12) +996*a(n-13) -80*a(n-14) -472*a(n-15) +279*a(n-16) +17*a(n-17) -76*a(n-18) +30*a(n-19) -4*a(n-20) for n>29

EXAMPLE

Some solutions for n=4

..2..1..0..2....1..1..0..2....1..1..1..2....1..0..1..1....1..1..0..1

..1..1..0..1....2..1..0..1....1..1..1..1....1..0..1..0....1..1..1..2

..0..1..0..1....2..1..0..2....1..1..1..1....1..0..1..0....0..0..0..1

..1..2..1..2....2..1..0..2....2..1..0..0....2..1..2..2....1..1..1..2

..1..2..1..2....0..2..0..2....1..2..2..2....1..0..0..0....0..0..0..0

CROSSREFS

Sequence in context: A072598 A159213 A056094 * A235966 A252380 A251023

Adjacent sequences:  A253525 A253526 A253527 * A253529 A253530 A253531

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 03 2015

STATUS

approved

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Last modified June 25 10:04 EDT 2022. Contains 354844 sequences. (Running on oeis4.)