A237169 Number of (n+1)X(1+1) 0..3 arrays with the maximum minus the lower median of every 2X2 subblock equal

256, 1696, 11242, 79688, 571176, 4149488, 30302376, 222236840, 1634080758, 12040114696, 88854942464, 656646761776, 4858559900656, 35988568287312, 266850660194506, 1980583052699752, 14713536840656472, 109401041742567216

Offset

1,1

Comments

Column 1 of A237175

Links

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

Formula

Empirical: a(n) = 13*a(n-1) +41*a(n-2) -991*a(n-3) -233*a(n-4) +33503*a(n-5) -14430*a(n-6) -661128*a(n-7) +333383*a(n-8) +8416693*a(n-9) -2868153*a(n-10) -71956485*a(n-11) +5469267*a(n-12) +415886671*a(n-13) +92637374*a(n-14) -1590963716*a(n-15) -830241568*a(n-16) +3809932736*a(n-17) +3099961760*a(n-18) -5076149312*a(n-19) -5749892352*a(n-20) +2817108224*a(n-21) +4878532608*a(n-22) -21157888*a(n-23) -1661034496*a(n-24) -337674240*a(n-25) +167116800*a(n-26) +47185920*a(n-27)

Example

Some solutions for n=4
..1..1....2..1....3..2....1..2....3..0....1..1....2..3....3..1....0..2....3..1
..2..0....3..3....1..2....2..1....1..1....1..2....2..1....1..2....1..3....2..2
..2..1....0..2....3..2....2..0....3..1....3..3....0..1....1..3....1..3....0..3
..2..3....3..2....1..2....2..1....1..3....2..1....1..2....2..1....2..1....3..2
..1..3....0..2....2..1....2..3....3..0....2..1....3..3....1..3....3..0....0..2

Crossrefs

Sequence in context: A237538 A237532 A237175 * A237936 A237931 A237494

Adjacent sequences: A237166 A237167 A237168 * A237170 A237171 A237172

Keyword

nonn

Author

R. H. Hardin, Feb 04 2014

Status

approved