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A269496
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Number of length-5 0..n arrays with no repeated value differing from the previous repeated value by one.
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1
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24, 215, 964, 3021, 7616, 16579, 32460, 58649, 99496, 160431, 248084, 370405, 536784, 758171, 1047196, 1418289, 1887800, 2474119, 3197796, 4081661, 5150944, 6433395, 7959404, 9762121, 11877576, 14344799, 17205940, 20506389, 24294896
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OFFSET
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1,1
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LINKS
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FORMULA
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Empirical: a(n) = n^5 + 5*n^4 + 10*n^3 + 4*n^2 + 3*n + 1.
G.f.: x*(24 + 71*x + 34*x^2 - 18*x^3 + 10*x^4 - x^5) / (1 - x)^6.
a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n>6
(End)
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EXAMPLE
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Some solutions for n=6:
..3. .0. .3. .3. .4. .2. .3. .4. .2. .6. .5. .4. .6. .1. .5. .5
..5. .1. .3. .0. .6. .2. .3. .3. .1. .3. .4. .2. .2. .4. .1. .3
..1. .6. .3. .1. .0. .5. .2. .4. .0. .4. .1. .0. .0. .5. .5. .6
..6. .2. .4. .5. .6. .1. .4. .2. .4. .1. .0. .6. .1. .4. .3. .6
..5. .5. .1. .6. .5. .5. .6. .3. .3. .5. .2. .1. .4. .1. .4. .5
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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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