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A188751 Number of 6Xn binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally 1
44, 1936, 52072, 1605680, 50067824, 1536573216, 47325959200, 1458401558672, 44920478350336, 1383729806664224, 42625318691202112, 1313038765458668928, 40447195582501099328, 1245947218943096747520, 38380504925120799720192 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 6 of A188747

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 38*a(n-1) -124*a(n-2) -3140*a(n-3) +8096*a(n-4) -259716*a(n-5) +4687896*a(n-6) -20613384*a(n-7) +158611248*a(n-8) -152099872*a(n-9) -13890193664*a(n-10) +55525795136*a(n-11) +4284484192*a(n-12) +18954549312*a(n-13) +3859060452864*a(n-14) -18802857067520*a(n-15) +6618272780544*a(n-16) -129224888191232*a(n-17) -307268058830848*a(n-18) +2671879628283392*a(n-19) -585615778051072*a(n-20) +39201937249583104*a(n-21) -37346178411466752*a(n-22) -196181188224899072*a(n-23) -537282380088098816*a(n-24) -2622956973995761664*a(n-25) +8868569915155144704*a(n-26) +4794513849125715968*a(n-27) +70931224429358727168*a(n-28) -56307294252038979584*a(n-29) -539141458256081846272*a(n-30) -113026663059443810304*a(n-31) -1737055429706877370368*a(n-32) +7690330843187796770816*a(n-33) +17066206218717563715584*a(n-34) +925263814637023920128*a(n-35) -15016901284292099833856*a(n-36) -262768297742713124552704*a(n-37) -237735194459221570617344*a(n-38) +208065137218162341707776*a(n-39) +583957561140035585048576*a(n-40) +3933460473824662014394368*a(n-41) +2505249088068863926468608*a(n-42) -3712513659214321713938432*a(n-43) -6531598835134203451932672*a(n-44) -30139657382461385138503680*a(n-45) -20079613559888106236149760*a(n-46) +5519863579946158974304256*a(n-47) +37778342641740928904069120*a(n-48) +207263786160210170693550080*a(n-49) +123006895613856303321972736*a(n-50) -101082629303525802179035136*a(n-51) -185319427418157801355083776*a(n-52) -618032763288494987391533056*a(n-53) -327276405047842411712086016*a(n-54) +561289977541862694919864320*a(n-55) +525810807819272801717583872*a(n-56) +534368575529962805707931648*a(n-57) +190648877353749529065684992*a(n-58) -759582431787077877045919744*a(n-59) -499791238369510015211929600*a(n-60) +146555837298938649803489280*a(n-61) +128070779632773779041550336*a(n-62) +52215683618678965419376640*a(n-63) +32064120172628401157308416*a(n-64) +1865524416321017685737472*a(n-65) -905725910647102129569792*a(n-66) -76701561858484315619328*a(n-67)

EXAMPLE

Some solutions for 6X3

..0..1..0....1..1..1....0..1..0....1..0..0....1..1..0....1..1..0....1..0..1

..0..1..0....0..0..1....0..1..1....0..0..0....1..0..1....0..1..1....1..0..1

..0..0..1....1..0..0....1..0..1....0..1..0....0..0..0....1..0..0....0..0..0

..0..0..1....0..0..0....0..0..0....0..0..0....0..1..0....0..0..0....1..0..1

..0..0..0....1..1..0....0..0..0....1..1..0....1..0..1....0..0..1....1..1..0

..1..1..0....0..0..0....0..0..0....1..1..1....0..1..0....1..1..1....0..0..0

CROSSREFS

Sequence in context: A188564 A207086 A207180 * A188871 A009988 A041925

Adjacent sequences:  A188748 A188749 A188750 * A188752 A188753 A188754

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 09 2011

STATUS

approved

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Last modified August 12 12:05 EDT 2022. Contains 356072 sequences. (Running on oeis4.)