A236501 Number of (n+1)X(1+1) 0..3 arrays colored with the maximum plus the minimum minus the lower median of every 2X2 subblock

256, 2632, 27458, 284408, 2954930, 30642966, 318132117, 3300684904, 34257479784, 355481488428, 3689189768448, 38283796526416, 397297768359304, 4122943466702820, 42786260152594116, 444015373043625472

Offset

1,1

Comments

Column 1 of A236505

Links

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

Formula

Empirical: a(n) = 308*a(n-3) +4012*a(n-4) +21992*a(n-5) +160712*a(n-6) +584652*a(n-7) +2312740*a(n-8) +6348544*a(n-9) +5341120*a(n-10) +3533664*a(n-11) -174342864*a(n-12) -458662976*a(n-13) -1214806208*a(n-14) -2349785088*a(n-15) +3981769152*a(n-16) +10164177792*a(n-17) +47276054208*a(n-18) +85298810880*a(n-19) -33867762176*a(n-20) -93314875904*a(n-21) -795814825216*a(n-22) -1288724156416*a(n-23) +207101892608*a(n-24) +543866948608*a(n-25) +6245665710080*a(n-26) +9033804898304*a(n-27) -3139783680000*a(n-28) -4668497395712*a(n-29) -17866459840512*a(n-30) -22658241527808*a(n-31) +17119004590080*a(n-32) +17563014660096*a(n-33) -3022314799104*a(n-34)

Example

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

Crossrefs

Sequence in context: A236624 A236620 A236505 * A235752 A235815 A235749

Adjacent sequences: A236498 A236499 A236500 * A236502 A236503 A236504

Keyword

nonn

Author

R. H. Hardin, Jan 27 2014

Status

approved