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A205194
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Number of (n+1)X2 0..3 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero
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1
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207, 1720, 13366, 83720, 496848, 2629706, 13334897, 63159947, 289222067, 1267265078, 5406867620, 22378349496, 90688749158, 359505989852, 1401334119845, 5372027062571, 20315383781149, 75832042663346
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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) = 13*a(n-1) -13*a(n-2) -524*a(n-3) +1959*a(n-4) +8608*a(n-5) -55184*a(n-6) -59171*a(n-7) +853539*a(n-8) -238006*a(n-9) -8726805*a(n-10) +9719469*a(n-11) +63484144*a(n-12) -114216050*a(n-13) -338695574*a(n-14) +856174719*a(n-15) +1322556453*a(n-16) -4683896798*a(n-17) -3573610846*a(n-18) +19701738548*a(n-19) +5019624727*a(n-20) -65358107883*a(n-21) +7513917414*a(n-22) +173162552987*a(n-23) -71108674483*a(n-24) -367959382578*a(n-25) +246817747083*a(n-26) +625140423421*a(n-27) -579135984006*a(n-28) -838984603120*a(n-29) +1019488216590*a(n-30) +865729693841*a(n-31) -1391392378912*a(n-32) -645138967435*a(n-33) +1485262022397*a(n-34) +283817892022*a(n-35) -1234876808272*a(n-36) +19579444565*a(n-37) +787889140698*a(n-38) -144826793216*a(n-39) -375320128236*a(n-40) +124579079852*a(n-41) +127285128240*a(n-42) -61269085328*a(n-43) -28074083232*a(n-44) +18994673840*a(n-45) +3184340256*a(n-46) -3582579840*a(n-47) +20663360*a(n-48) +359876672*a(n-49) -40809216*a(n-50) -13348608*a(n-51) +2257920*a(n-52)
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EXAMPLE
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Some solutions for n=4
..1..0....0..3....2..0....1..1....2..3....1..3....1..3....0..2....0..3....0..2
..0..1....1..1....1..1....3..3....3..0....2..0....2..1....1..0....3..0....1..0
..1..1....1..2....0..2....3..1....1..3....3..3....1..3....2..2....1..3....3..2
..2..1....3..3....1..0....3..3....3..2....0..2....2..3....3..1....2..3....2..1
..0..2....3..2....1..2....3..3....3..2....3..2....3..0....1..3....1..3....2..3
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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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