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A237309 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock equal 1
256, 1352, 7398, 42474, 246644, 1457838, 8652288, 51729960, 309766574, 1861078542, 11188735904, 67373917686, 405827135812, 2446512539772, 14751429933454, 88985114027282, 536854786667932, 3239769624524494 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A237315

LINKS

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

FORMULA

Empirical: a(n) = 16*a(n-1) -1222*a(n-3) +4306*a(n-4) +37240*a(n-5) -215317*a(n-6) -540094*a(n-7) +5203112*a(n-8) +2292844*a(n-9) -76124580*a(n-10) +48925344*a(n-11) +731455664*a(n-12) -1009008048*a(n-13) -4767540048*a(n-14) +9634148480*a(n-15) +21068679040*a(n-16) -58279824064*a(n-17) -60171290304*a(n-18) +241589450496*a(n-19) +89789142784*a(n-20) -704484707584*a(n-21) +42074520064*a(n-22) +1448865873408*a(n-23) -538005643264*a(n-24) -2069440729088*a(n-25) +1288382918656*a(n-26) +1977460977664*a(n-27) -1703477510144*a(n-28) -1169175658496*a(n-29) +1362600230912*a(n-30) +349325819904*a(n-31) -643081306112*a(n-32) -6231949312*a(n-33) +161110032384*a(n-34) -21835546624*a(n-35) -16116613120*a(n-36) +3464495104*a(n-37)

EXAMPLE

Some solutions for n=4

..1..0....1..1....2..0....2..2....3..1....3..3....2..2....1..3....2..1....3..2

..2..0....2..1....2..1....0..0....1..3....3..3....0..1....3..0....1..1....0..1

..0..0....0..0....0..2....2..1....2..1....0..0....1..2....3..1....2..2....1..3

..2..0....2..0....2..1....2..1....2..2....2..3....2..0....2..3....1..1....2..0

..0..0....1..0....0..2....1..1....3..2....1..1....1..1....1..3....1..0....1..3

CROSSREFS

Sequence in context: A242257 A206320 A237315 * A188865 A187964 A187956

Adjacent sequences:  A237306 A237307 A237308 * A237310 A237311 A237312

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 06 2014

STATUS

approved

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Last modified May 17 03:43 EDT 2022. Contains 353727 sequences. (Running on oeis4.)