A205051 Number of (n+1)X5 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors

2892, 19151, 182720, 1887956, 24394205, 274053256, 3582717434, 40560306665, 528619776909, 6007525824270, 78011222099753, 889719151865578, 11513567328881604, 131755174926725810, 1699414929821586134

Offset

1,1

Comments

Column 4 of A205055

Links

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

Formula

Empirical: a(n) = 11*a(n-1) +89*a(n-2) -1382*a(n-3) +7232*a(n-4) -20487*a(n-5) +22608*a(n-6) +90684*a(n-7) -610247*a(n-8) +1980976*a(n-9) -4332786*a(n-10) +6534588*a(n-11) -5158482*a(n-12) -7408327*a(n-13) +52395654*a(n-14) -198568574*a(n-15) +640307615*a(n-16) -1784288800*a(n-17) +4149738810*a(n-18) -7865157646*a(n-19) +12022512128*a(n-20) -14747342533*a(n-21) +14833163265*a(n-22) -14571366419*a(n-23) +20348606706*a(n-24) -37020899614*a(n-25) +60754513871*a(n-26) -81818119908*a(n-27) +95454358474*a(n-28) -104095887630*a(n-29) +108382444060*a(n-30) -104058755817*a(n-31) +89676294881*a(n-32) -70419789643*a(n-33) +52267259062*a(n-34) -37130931142*a(n-35) +24661764862*a(n-36) -14989718717*a(n-37) +8451156047*a(n-38) -4594292260*a(n-39) +2445305996*a(n-40) -1225764216*a(n-41) +547225764*a(n-42) -215269088*a(n-43) +80229956*a(n-44) -30902380*a(n-45) +11440836*a(n-46) -3344076*a(n-47) +633600*a(n-48) -57600*a(n-49) for n>54

Example

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

Crossrefs

Sequence in context: A072016 A253402 A061663 * A262418 A235816 A235819

Adjacent sequences: A205048 A205049 A205050 * A205052 A205053 A205054

Keyword

nonn

Author

R. H. Hardin Jan 21 2012

Status

approved