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A202433 Number of (n+2)X8 binary arrays avoiding patterns 000 and 001 in rows, columns and nw-to-se diagonals 1
56508, 1226040, 21708320, 412198592, 7639914240, 142785263584, 2660934612820, 49637957849364, 925648169620608, 17263478410092412, 321954038991233896, 6004334788538360760, 111978382440919287468, 2088353576410259118508 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A202435

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +256*a(n-2) +1813*a(n-3) -4585*a(n-4) -76773*a(n-5) +19959*a(n-6) +1902384*a(n-7) -148268*a(n-8) -35650560*a(n-9) +29000803*a(n-10) +502505029*a(n-11) -1116421513*a(n-12) -4172969753*a(n-13) +20805461714*a(n-14) -6972738747*a(n-15) -166966311186*a(n-16) +543568420885*a(n-17) -656018198804*a(n-18) -363861184538*a(n-19) +2260562177166*a(n-20) -2322865496878*a(n-21) -1791306551246*a(n-22) +6158877982218*a(n-23) -2397296944618*a(n-24) -8068389199901*a(n-25) +8682073295178*a(n-26) +7099412718023*a(n-27) -14576574260692*a(n-28) -5017341202672*a(n-29) +18937099943420*a(n-30) +4425838371219*a(n-31) -21504252452195*a(n-32) -7161248378195*a(n-33) +21316688598652*a(n-34) +13214121846934*a(n-35) -16215883083782*a(n-36) -19503506731994*a(n-37) +4933628099423*a(n-38) +19817820660790*a(n-39) +8487124253071*a(n-40) -9698975684393*a(n-41) -13552414605623*a(n-42) -4210541887730*a(n-43) +4920468046804*a(n-44) +6673717559753*a(n-45) +3634498698153*a(n-46) +664881148690*a(n-47) -413814000290*a(n-48) -326421409699*a(n-49) -69605924328*a(n-50) +22523265950*a(n-51) +16031882185*a(n-52) +1426120375*a(n-53) -1408032997*a(n-54) -351768717*a(n-55) +83849669*a(n-56) +31554222*a(n-57) -5701358*a(n-58) -1734802*a(n-59) +517479*a(n-60) +23271*a(n-61) -37886*a(n-62) +7151*a(n-63) +1024*a(n-64) -622*a(n-65) +67*a(n-66) +5*a(n-67) -a(n-68)

EXAMPLE

Some solutions for n=1

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

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

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

CROSSREFS

Sequence in context: A244294 A234488 A184613 * A329270 A190836 A288076

Adjacent sequences:  A202430 A202431 A202432 * A202434 A202435 A202436

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 19 2011

STATUS

approved

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Last modified July 29 03:57 EDT 2021. Contains 346340 sequences. (Running on oeis4.)