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A235568 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 rowwise and columnwise 1
144, 1120, 8046, 53728, 336836, 2000524, 11372978, 62383454, 332455972, 1730326282, 8833514496, 44382185226, 220072436430, 1079376436068, 5246129716196, 25306054280836, 121306074550810, 578457574821664 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A235573

LINKS

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

FORMULA

Empirical: a(n) = 13*a(n-1) -9*a(n-2) -541*a(n-3) +1696*a(n-4) +9722*a(n-5) -46888*a(n-6) -95212*a(n-7) +697497*a(n-8) +481891*a(n-9) -6809749*a(n-10) -30189*a(n-11) +47373245*a(n-12) -19406431*a(n-13) -245219703*a(n-14) +167953633*a(n-15) +968126450*a(n-16) -852757916*a(n-17) -2955610502*a(n-18) +3039768838*a(n-19) +7021153815*a(n-20) -8047471703*a(n-21) -12981161773*a(n-22) +16175042271*a(n-23) +18580676002*a(n-24) -24843301208*a(n-25) -20361671632*a(n-26) +29053537392*a(n-27) +16774827040*a(n-28) -25551955968*a(n-29) -10103359744*a(n-30) +16522906624*a(n-31) +4261513216*a(n-32) -7569866752*a(n-33) -1174028288*a(n-34) +2308964352*a(n-35) +186122240*a(n-36) -417333248*a(n-37) -12582912*a(n-38) +33554432*a(n-39)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A165088 A269049 A165086 * A222349 A133062 A211473

Adjacent sequences:  A235565 A235566 A235567 * A235569 A235570 A235571

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 12 2014

STATUS

approved

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Last modified September 18 19:19 EDT 2020. Contains 337172 sequences. (Running on oeis4.)