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A269773
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Number of length-n 0..5 arrays with every repeated value unequal to the previous repeated value plus one mod 5+1.
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1
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6, 36, 216, 1290, 7680, 45600, 270150, 1597500, 9432000, 55616250, 327585000, 1927725000, 11335143750, 66607312500, 391177125000, 2296246406250, 13473738750000, 79033031250000, 463449377343750, 2716989679687500
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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) = 10*a(n-1) - 20*a(n-2) - 25*a(n-3).
Empirical g.f.: 6*x*(1 - 4*x - 4*x^2) / ((1 - 5*x)*(1 - 5*x - 5*x^2)). - Colin Barker, Jan 29 2019
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EXAMPLE
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Some solutions for n=6:
..0. .2. .2. .1. .4. .1. .4. .0. .4. .2. .0. .3. .4. .3. .5. .4
..4. .2. .3. .5. .4. .1. .2. .5. .1. .0. .1. .0. .0. .5. .4. .3
..5. .4. .0. .4. .3. .0. .5. .4. .1. .3. .1. .0. .2. .3. .5. .4
..3. .4. .5. .4. .3. .4. .1. .5. .0. .1. .2. .1. .3. .5. .5. .2
..1. .2. .1. .0. .2. .1. .5. .3. .1. .3. .3. .3. .0. .1. .3. .2
..4. .3. .2. .1. .3. .0. .0. .3. .4. .4. .3. .2. .2. .1. .4. .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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