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A207775
Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 0 vertically
1
14, 196, 450, 2514, 11950, 49122, 240346, 1128862, 4877154, 23327018, 108074514, 478733418, 2262096566, 10409692914, 46789327172, 219235503298, 1005810194939, 4561769370045, 21244661132558, 97362267362778, 444028822734414
OFFSET
1,1
COMMENTS
Row 5 of A207774
LINKS
FORMULA
Empirical: a(n) = 2*a(n-2) +150*a(n-3) +25*a(n-4) -72*a(n-5) -7937*a(n-6) -1490*a(n-7) +2451*a(n-8) +213524*a(n-9) +42991*a(n-10) -114634*a(n-11) -3346943*a(n-12) -747728*a(n-13) +3031049*a(n-14) +32442556*a(n-15) +7798213*a(n-16) -42963518*a(n-17) -196424497*a(n-18) -44548488*a(n-19) +351737633*a(n-20) +692689062*a(n-21) +93501738*a(n-22) -1716225218*a(n-23) -877940360*a(n-24) +377608774*a(n-25) +4768163280*a(n-26) -3628730402*a(n-27) -3191474052*a(n-28) -5351036850*a(n-29) +20839576798*a(n-30) +10065104006*a(n-31) -8824318958*a(n-32) -47400128660*a(n-33) -18165069741*a(n-34) +41443795012*a(n-35) +53017147556*a(n-36) +20949748246*a(n-37) -63332872175*a(n-38) -14048158058*a(n-39) -16331767092*a(n-40) +41917144534*a(n-41) -32969536022*a(n-42) +7486455892*a(n-43) +620889846*a(n-44) +34145453016*a(n-45) +898736433*a(n-46) -16894697174*a(n-47) -4196420013*a(n-48) -3179709354*a(n-49) +6582002076*a(n-50) -9222416342*a(n-51) +350236405*a(n-52) +1652136520*a(n-53) +3365250739*a(n-54) +936902998*a(n-55) -1100375375*a(n-56) +1017632784*a(n-57) -155269313*a(n-58) -188664036*a(n-59) -642194600*a(n-60) -109476036*a(n-61) +87044727*a(n-62) +56855236*a(n-63) +593565*a(n-64) +42981368*a(n-65) +20859144*a(n-66) +8082606*a(n-67) -6544874*a(n-68) -4683770*a(n-69) +564063*a(n-70) -3385096*a(n-71) -106954*a(n-72) -175148*a(n-73) +225815*a(n-74) +141358*a(n-75) +32947*a(n-76) +73132*a(n-77) +5098*a(n-78) +2264*a(n-79) +2461*a(n-80) -344*a(n-81) -4*a(n-82) for n>87
EXAMPLE
Some solutions for n=4
..1..0..0..1....1..0..1..1....0..0..1..1....1..1..0..1....1..1..0..0
..0..1..1..0....0..1..1..0....1..0..1..1....1..1..0..1....0..0..1..1
..0..1..1..0....0..1..1..0....1..0..1..0....1..1..0..1....1..0..1..1
..0..1..1..0....0..0..1..0....0..0..1..0....1..1..0..1....1..0..1..0
..0..1..0..0....0..1..1..0....1..0..1..0....0..1..0..1....1..0..0..1
CROSSREFS
Sequence in context: A208842 A207490 A207887 * A207663 A207272 A207765
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 20 2012
STATUS
approved