A236647 Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock.

484, 4500, 41980, 394380, 3668492, 34234336, 319904840, 2991463632, 27901011760, 260484793448, 2433205784152, 22729004719568, 212171486821248, 1981136638265476, 18502116150459608, 172787369160052104

Offset

1,1

Comments

Column 2 of A236651

Links

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

Formula

Empirical: a(n) = 13*a(n-2) +184*a(n-3) +3506*a(n-4) +9110*a(n-5) +21587*a(n-6) +63605*a(n-7) -342128*a(n-8) -864643*a(n-9) +1140624*a(n-10) +294974*a(n-11) +739053*a(n-12) +15509266*a(n-13) -16660349*a(n-14) -37563062*a(n-15) +41074149*a(n-16) -39645704*a(n-17) -48556860*a(n-18) +140778823*a(n-19) -72899036*a(n-20) -67241570*a(n-21) +329687733*a(n-22) -46469782*a(n-23) -133466871*a(n-24) +319656720*a(n-25) -408928291*a(n-26) -40519358*a(n-27) +151099557*a(n-28) -160188966*a(n-29) +104521624*a(n-30) -63973040*a(n-31) -163603316*a(n-32) +759648*a(n-33) +12746672*a(n-34)

Example

Some solutions for n=3
..1..2..2....0..2..1....2..2..1....1..1..1....2..0..0....0..0..0....1..1..2
..2..1..0....2..1..0....2..0..0....1..0..0....2..1..1....1..1..2....1..0..2
..2..0..0....1..0..0....2..1..0....2..0..0....0..1..0....1..1..0....2..2..0
..2..0..0....2..0..0....1..0..2....2..2..1....1..1..0....2..2..0....1..1..2

Crossrefs

Sequence in context: A199330 A281398 A014803 * A237078 A085120 A250614

Adjacent sequences: A236644 A236645 A236646 * A236648 A236649 A236650

Keyword

nonn

Author

R. H. Hardin, Jan 29 2014

Status

approved