A237370 - OEIS

A237370

Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.

1024, 4760, 22676, 116880, 597492, 3049632, 15573476, 80201408, 411286836, 2099304960, 10729460820, 55269328800, 283525603492, 1447353862496, 7398722121284, 38126239186720, 195635060216484, 998817510951744

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 3 of A237375

LINKS

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

FORMULA

Empirical: a(n) = 1564*a(n-4) -747073*a(n-8) +111088396*a(n-12) -8474399747*a(n-16) +395014705516*a(n-20) -12200813483051*a(n-24) +260237478196460*a(n-28) -3910838038088336*a(n-32) +41692053218771904*a(n-36) -314601993651065152*a(n-40) +1666350374235368704*a(n-44) -6122043810041542656*a(n-48) +15393880291002724352*a(n-52) -26078740876304560128*a(n-56) +29011441580998115328*a(n-60) -20170260434720194560*a(n-64) +7882073405327409152*a(n-68) -1264135601955799040*a(n-72) -77945556453818368*a(n-76) +37076376167120896*a(n-80) -1030466538831872*a(n-84) -153055186124800*a(n-88) +7219840024576*a(n-92) for n>94

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A255664 A358001 A195004 * A135289 A189071 A214800

Adjacent sequences: A237367 A237368 A237369 * A237371 A237372 A237373

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 07 2014

STATUS

approved