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A205224
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Number of (n+1)X7 0..1 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order
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1
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868, 2228, 5176, 14072, 37308, 104404, 283148, 789060, 2163684, 6011124, 16583140, 45987596, 127251428, 352631604, 977135580, 2707604716, 7507028260, 20806607156, 57698876836, 159967392436, 443630324756, 1230252248020
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = a(n-1) +64*a(n-2) -61*a(n-3) -1922*a(n-4) +1749*a(n-5) +35955*a(n-6) -31288*a(n-7) -468980*a(n-8) +390841*a(n-9) +4522862*a(n-10) -3614929*a(n-11) -33363078*a(n-12) +25612354*a(n-13) +192033331*a(n-14) -141887191*a(n-15) -871700751*a(n-16) +622077685*a(n-17) +3130991514*a(n-18) -2173220575*a(n-19) -8866276251*a(n-20) +6073576364*a(n-21) +19561334255*a(n-22) -13637129607*a(n-23) -32822178197*a(n-24) +24829503520*a(n-25) +39918118765*a(n-26) -37390000920*a(n-27) -31392327348*a(n-28) +47946250331*a(n-29) +9750468344*a(n-30) -53279409387*a(n-31) +8474727151*a(n-32) +49934375103*a(n-33) -11819194016*a(n-34) -36616297897*a(n-35) +8779233251*a(n-36) +18629842648*a(n-37) -11659934882*a(n-38) -3457482371*a(n-39) +15501456943*a(n-40) -5731697735*a(n-41) -10743141501*a(n-42) +7539099799*a(n-43) +3102010493*a(n-44) -4332627437*a(n-45) -125282220*a(n-46) +1219143181*a(n-47) -308927687*a(n-48) +591488794*a(n-49) -213986874*a(n-50) -93597204*a(n-51) -42448492*a(n-52) -12246744*a(n-53) -10566792*a(n-54) +9480592*a(n-55) +15684784*a(n-56) -11519520*a(n-57) -1260512*a(n-58) +6217536*a(n-59) -2974528*a(n-60) -1177472*a(n-61) +722560*a(n-62) +161280*a(n-63) for n>69
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EXAMPLE
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Some solutions for n=4
..0..1..1..0..1..1..1....0..0..1..0..1..1..1....0..0..1..0..1..1..0
..0..0..0..0..1..1..0....1..1..0..0..1..0..0....0..1..0..0..1..1..0
..1..1..0..0..0..0..1....1..1..0..0..0..1..0....1..0..0..0..0..0..0
..1..1..0..1..1..0..1....1..0..1..0..0..0..1....1..0..0..1..1..0..0
..0..0..0..1..1..0..0....1..0..0..1..0..0..1....0..1..0..1..0..1..1
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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