A236296 Number of (n+1)X(1+1) 0..3 arrays colored with the maximum plus the upper median plus the minimum of every 2X2 subblock

256, 3040, 36192, 432292, 5161664, 61594004, 735086888, 8773890972, 104720819952, 1249859692764, 14917390553320, 178044031444660, 2125010749541696, 25362620152707220, 302710385864023592

Offset

1,1

Comments

Column 1 of A236299

Links

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

Formula

Empirical: a(n) = 496*a(n-3) +6976*a(n-4) +48436*a(n-5) +329216*a(n-6) +1437760*a(n-7) +3979634*a(n-8) +4940132*a(n-9) -55741792*a(n-10) -390877624*a(n-11) -1473869888*a(n-12) -4031176420*a(n-13) -1262305248*a(n-14) +33517081024*a(n-15) +155320073087*a(n-16) +472592340348*a(n-17) +530125840256*a(n-18) -1501534470840*a(n-19) -8023945719440*a(n-20) -23066155324272*a(n-21) -26970122998624*a(n-22) +53711172706752*a(n-23) +248959902556160*a(n-24) +532406307593472*a(n-25) +455715391093696*a(n-26) -1386551094356224*a(n-27) -4426082018291456*a(n-28) -5065787868470272*a(n-29) +38737497779200*a(n-30) +16628061270116352*a(n-31) +32449752313597952*a(n-32) +10910755550486528*a(n-33) -35673387072094208*a(n-34) -63851414223945728*a(n-35) -61910833253777408*a(n-36) +15490979644964864*a(n-37) +124304876301189120*a(n-38) +83968026177175552*a(n-39) -54274400025837568*a(n-40) -73655933378494464*a(n-41) -4669132624625664*a(n-42) +18475093453701120*a(n-43) +4665135561965568*a(n-44) -1358607509618688*a(n-45) -458848267665408*a(n-46)

Example

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

Crossrefs

Sequence in context: A235430 A235426 A236299 * A138333 A236123 A236120

Adjacent sequences: A236293 A236294 A236295 * A236297 A236298 A236299

Keyword

nonn

Author

R. H. Hardin, Jan 21 2014

Status

approved