A236585 Number of (n+1)X(1+1) 0..3 arrays colored with the maximum plus the upper median minus the minimum of every 2X2 subblock

256, 2858, 31944, 358178, 4013896, 44966244, 503819820, 5645017984, 63247284440, 708630554916, 7939655141716, 88957459974628, 996694993892752, 11167152755131956, 125118885427036420, 1401855300771832388

Offset

1,1

Comments

Column 1 of A236588

Links

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

Formula

Empirical: a(n) = 394*a(n-3) +5386*a(n-4) +34292*a(n-5) +239776*a(n-6) +1025472*a(n-7) +3463659*a(n-8) +9244364*a(n-9) -8544408*a(n-10) -118885894*a(n-11) -703536752*a(n-12) -2710828048*a(n-13) -5007844272*a(n-14) -6240042572*a(n-15) +26001251568*a(n-16) +174608116528*a(n-17) +434674492988*a(n-18) +936325029664*a(n-19) +498062549200*a(n-20) -4412895564352*a(n-21) -13703202646864*a(n-22) -32316273316928*a(n-23) -40481448209472*a(n-24) +51293555926400*a(n-25) +230963885190144*a(n-26) +487702061169152*a(n-27) +718807717359616*a(n-28) -250453412659200*a(n-29) -2519654989697024*a(n-30) -3881453707214848*a(n-31) -4013490377048064*a(n-32) +1046683317338112*a(n-33) +15026450426560512*a(n-34) +18019468064194560*a(n-35) -4402933899984896*a(n-36) -21230885445566464*a(n-37) -10606454888202240*a(n-38) +3255003072430080*a(n-39) +3815069888544768*a(n-40) +682583364993024*a(n-41) -51254327771136*a(n-42)

Example

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

Crossrefs

Sequence in context: A236137 A236134 A236588 * A235818 A235577 A235574

Adjacent sequences: A236582 A236583 A236584 * A236586 A236587 A236588

Keyword

nonn

Author

R. H. Hardin, Jan 29 2014

Status

approved