A237562 Number of (n+1)X(3+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

1256, 7356, 44828, 272828, 1668300, 10006572, 61521086, 369916012, 2269219612, 13640047444, 83744336902, 503289951172, 3089491881388, 18568951596028, 113990187566058, 685097693973988, 4205677467677088, 25276889819728684

Offset

1,1

Comments

Column 3 of A237567

Links

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

Formula

Empirical: a(n) = 16*a(n-2) +835*a(n-4) +3123*a(n-6) -159248*a(n-8) -1813163*a(n-10) +3420332*a(n-12) +152514352*a(n-14) +758178885*a(n-16) -54193399*a(n-18) -7796952237*a(n-20) -1698826988*a(n-22) +55481380191*a(n-24) -33638247889*a(n-26) -251552367009*a(n-28) +641441995116*a(n-30) +1246987460767*a(n-32) -1248644036925*a(n-34) -299948298657*a(n-36) +2560742766617*a(n-38) +1285778974330*a(n-40) +3182913517154*a(n-42) -8663654405072*a(n-44) -13182084846408*a(n-46) +11771304105080*a(n-48) -1612030103286*a(n-50) -516148288180*a(n-52) +132591788800*a(n-54) +18319631360*a(n-56) +833992704*a(n-58) -26394624*a(n-60) for n>63

Example

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

Crossrefs

Sequence in context: A280928 A080718 A219993 * A304829 A216941 A159726

Adjacent sequences: A237559 A237560 A237561 * A237563 A237564 A237565

Keyword

nonn

Author

R. H. Hardin, Feb 09 2014

Status

approved