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A206071 Number of (n+1)X8 0..2 arrays with every 2X3 or 3X2 subblock having exactly three clockwise edge increases 1
112236, 3193722, 140136942, 6395526408, 295275611838, 13684187500638, 635039160433908, 29485215907903062, 1369276201021810890, 63592616489409667044, 2953457871120192778626, 137169051245412033875646 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 7 of A206072
LINKS
FORMULA
Empirical: a(n) = 182*a(n-1) -14516*a(n-2) +678744*a(n-3) -20936223*a(n-4) +451954346*a(n-5) -6997050484*a(n-6) +76540040746*a(n-7) -525263538472*a(n-8) +597144835404*a(n-9) +39487603088739*a(n-10) -636924220740550*a(n-11) +6299552141236091*a(n-12) -47257726895824318*a(n-13) +287602810569499115*a(n-14) -1466653521546909340*a(n-15) +6388426522405521185*a(n-16) -24070824310284038838*a(n-17) +79142674733640419068*a(n-18) -228396990623346881764*a(n-19) +580467581235775776724*a(n-20) -1300349729939794268470*a(n-21) +2563363195232075133267*a(n-22) -4426427323783479445842*a(n-23) +6641674855738248754747*a(n-24) -8546366700766897364052*a(n-25) +9227850569735212661560*a(n-26) -8028920277936697783264*a(n-27) +5116519014383229469546*a(n-28) -1592939371946324043332*a(n-29) -1116064877271546588520*a(n-30) +2187914881921387593472*a(n-31) -1847765022199371494589*a(n-32) +970660487428775567212*a(n-33) -307518599725799411316*a(n-34) +67416712875892555868*a(n-35) -69024978876035513961*a(n-36) +96087158400085687456*a(n-37) -73933452087056970049*a(n-38) +29069416558542283476*a(n-39) +2636229264364678255*a(n-40) -12719954300626900028*a(n-41) +10191098317402710757*a(n-42) -4942368168659091234*a(n-43) +1459046954260029619*a(n-44) -85381660056085594*a(n-45) -176522554872507449*a(n-46) +115400503442298448*a(n-47) -42761339011870713*a(n-48) +10246358385157464*a(n-49) -1054021875567756*a(n-50) -396399518599352*a(n-51) +272118664268292*a(n-52) -93019004557912*a(n-53) +22252092750016*a(n-54) -3977695598192*a(n-55) +543220211772*a(n-56) -57177261536*a(n-57) +4538682512*a(n-58) -243388480*a(n-59) +6402800*a(n-60) for n>65
EXAMPLE
Some solutions for n=4
..2..2..0..2..2..0..0..2....1..0..1..2..2..0..0..1....0..2..0..2..0..0..2..0
..1..0..2..1..0..2..1..0....2..1..2..1..0..2..1..2....2..0..2..0..2..1..0..1
..2..1..0..2..1..0..2..1....0..2..1..0..2..0..2..0....1..2..0..1..0..2..1..0
..0..2..1..0..2..1..0..2....1..0..2..1..0..1..0..2....2..0..2..0..1..0..2..1
..1..0..2..1..0..2..1..0....2..1..0..2..1..2..1..0....0..1..0..1..2..1..0..2
CROSSREFS
Sequence in context: A151841 A102497 A215566 * A250526 A251064 A209948
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 03 2012
STATUS
approved

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Last modified February 23 20:31 EST 2024. Contains 370288 sequences. (Running on oeis4.)