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A235957 Number of (n+1)X(3+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise 1
144, 928, 5196, 27296, 137988, 681546, 3311312, 15908352, 75789960, 358924192, 1692140136, 7951451162, 37271897084, 174391909248, 814845026092, 3803491428248, 17740156559908, 82696152825954, 385325015689600 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A235962

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) -a(n-2) -189*a(n-3) +346*a(n-4) +1436*a(n-5) -4035*a(n-6) -4541*a(n-7) +20333*a(n-8) +2377*a(n-9) -52394*a(n-10) +19916*a(n-11) +68520*a(n-12) -46336*a(n-13) -39744*a(n-14) +35328*a(n-15) +7168*a(n-16) -8192*a(n-17)

EXAMPLE

Some solutions for n=4

..1..0..1..0....0..1..1..1....0..0..1..1....1..0..1..0....0..0..0..1

..0..0..0..1....1..1..0..0....0..0..0..0....1..1..0..1....0..0..0..1

..0..0..0..1....1..1..1..1....0..0..0..1....1..1..1..0....1..0..1..0

..0..0..0..0....0..1..0..1....1..0..0..0....0..1..0..0....1..1..1..0

..1..0..1..0....0..0..0..0....0..0..1..0....1..1..1..0....1..1..1..0

CROSSREFS

Sequence in context: A187301 A120089 A159748 * A162669 A230796 A230789

Adjacent sequences:  A235954 A235955 A235956 * A235958 A235959 A235960

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 17 2014

STATUS

approved

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Last modified March 21 07:23 EDT 2019. Contains 321367 sequences. (Running on oeis4.)