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A202329
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Number of (n+1)X(n+1) binary arrays with consecutive windows of two bits considered as a binary number nondecreasing in every row and column
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1
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16, 48, 162, 576, 2102, 7790, 29174, 110112, 418134, 1595622, 6113746, 23505358, 90633802, 350351642, 1357278302, 5268292832, 20483876822, 79765662902, 311038321442, 1214362277702, 4746455801882, 18570960418922, 72728638093802
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OFFSET
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1,1
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COMMENTS
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Diagonal of A202335
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..71
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FORMULA
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Empirical: (n+1)*(27*n-40)*a(n) = (135*n^2-123*n-100)*a(n-1) - 2*(54*n^2-63*n-10)*a(n-2) - 8*(2*n-5)*a(n-3). - Vaclav Kotesovec, Oct 19 2012
Another recurrence (empirical): (n+1)*(9*n^2-19*n+8)*a(n) = (45*n^3-68*n^2-13*n+20)*a(n-1) - 2*(2*n-3)*(9*n^2-n-2)*a(n-2). - Vaclav Kotesovec, Oct 26 2012
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EXAMPLE
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Some solutions for n=5
..0..0..0..0..0..1....0..0..0..0..1..0....0..0..0..0..1..0....0..0..0..0..0..1
..0..0..0..0..0..1....0..0..0..0..1..1....0..0..0..0..1..0....0..0..0..0..0..1
..0..0..0..0..0..1....0..0..0..0..1..1....0..0..1..1..1..1....0..0..0..0..0..1
..0..0..0..0..0..1....0..0..1..1..1..1....0..0..1..1..1..1....0..0..0..0..1..1
..0..0..0..1..1..1....0..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1
..0..1..1..1..1..1....1..1..1..1..1..1....0..0..1..1..1..1....1..1..1..1..1..1
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CROSSREFS
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Sequence in context: A211598 A109098 A223395 * A223599 A223692 A165115
Adjacent sequences: A202326 A202327 A202328 * A202330 A202331 A202332
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Dec 17 2011
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STATUS
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approved
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