login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A204404
Number of (n+2)X6 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally
1
6579664, 45603178, 316877238, 2085204465, 23029550325, 415155518470, 3295136296152, 32134688161335, 493230418931412, 4189404132668251, 40156342455697128, 568933756622989209, 5384912430646789092
OFFSET
1,1
COMMENTS
Column 4 of A204408
LINKS
FORMULA
Empirical: a(n) = 1459*a(n-3) +2366*a(n-4) +4779*a(n-5) -465750*a(n-6) -1048886*a(n-7) -3634327*a(n-8) -1252269*a(n-9) -12157074*a(n-10) +75962512*a(n-11) +773403474*a(n-12) -25986526911*a(n-13) +211585911372*a(n-14) -107550787476*a(n-15) +21223813833*a(n-16) +2464480594620*a(n-17) +5101752756654*a(n-18) +1912282879041*a(n-19) +15889589414820*a(n-20) -406274781521556*a(n-21) -396377909824842*a(n-22) -755667247671333*a(n-23) -4066604031081888*a(n-24) +4639217404157334*a(n-25) +24848519040123930*a(n-26) +137360498521522419*a(n-27) +27985445767323747*a(n-28) -606522898240754355*a(n-29) -783493902005379597*a(n-30) -544491482167055853*a(n-31) +1819222996472650620*a(n-32) +7082031643400002428*a(n-33) -3289051610700005853*a(n-34) -15271355053237580406*a(n-35) +17895166302779405568*a(n-36) +23766468524508556503*a(n-37) -82775764861128063918*a(n-38) +26582730134686633476*a(n-39) +18110747880545573718*a(n-40) -200977724829576859776*a(n-41) +191176432943565716730*a(n-42) +618195810764880833490*a(n-43) +107649060711895485657*a(n-44) -424990032576048420372*a(n-45) -769294085875543337364*a(n-46) -491590798304858190684*a(n-47) -379667928466099981368*a(n-48) +334386905865886476900*a(n-49) +1086666015165260019084*a(n-50) -420417634478656012812*a(n-51) +181557557295434496504*a(n-52) +2081553559981069049136*a(n-53) -362299205032647178032*a(n-54) -1111869043072107909696*a(n-55) -368956908713611008*a(n-56) -30359882774148562944*a(n-57) -426935851511464166400*a(n-58) for n>65
EXAMPLE
Some solutions for n=3
..0..2..1..0..1..0....2..0..1..1..1..2....0..0..1..2..0..2....1..1..2..0..1..0
..1..0..0..1..2..2....1..1..0..0..1..2....0..2..1..0..1..2....1..1..2..1..0..1
..2..2..1..2..0..1....2..2..0..1..2..0....0..1..2..1..2..0....0..1..2..2..1..0
..0..1..2..0..1..2....0..1..2..2..1..1....0..0..1..2..1..1....0..0..1..2..2..1
..0..0..1..2..2..0....0..0..1..2..0..2....2..1..0..1..2..2....1..2..0..1..2..2
CROSSREFS
Sequence in context: A234090 A344922 A344923 * A266914 A234711 A309385
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 15 2012
STATUS
approved