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

144, 1120, 8046, 53728, 336836, 2000524, 11372978, 62383454, 332455972, 1730326282, 8833514496, 44382185226, 220072436430, 1079376436068, 5246129716196, 25306054280836, 121306074550810, 578457574821664

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: A269049 A165086 A337794 * A222349 A133062 A211473

Adjacent sequences: A235565 A235566 A235567 * A235569 A235570 A235571

Keyword

nonn

Author

R. H. Hardin, Jan 12 2014

Status

approved