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A269617
Number of length-n 0..6 arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1.
1
7, 49, 343, 2370, 16218, 110099, 742487, 4979260, 33232924, 220896016, 1463045800, 9659912834, 63605763734, 417796855262, 2738396932202, 17913923467256, 116986307701928, 762789970679730, 4966685787053850, 32298201110078751
OFFSET
1,1
COMMENTS
Column 6 of A269619.
LINKS
FORMULA
Empirical: a(n) = 48*a(n-1) -1001*a(n-2) +11802*a(n-3) -85449*a(n-4) +383292*a(n-5) -1000148*a(n-6) +1185936*a(n-7) +212633*a(n-8) -1064856*a(n-9) -732405*a(n-10) -264438*a(n-11) -65802*a(n-12) -10656*a(n-13) -1071*a(n-14) -54*a(n-15)
EXAMPLE
Some solutions for n=6
..1. .5. .4. .5. .5. .3. .6. .1. .1. .2. .3. .0. .0. .4. .0. .4
..4. .5. .6. .4. .5. .5. .4. .0. .6. .4. .2. .1. .4. .3. .6. .0
..0. .6. .2. .6. .0. .4. .5. .5. .1. .5. .1. .6. .4. .3. .3. .2
..4. .0. .0. .4. .2. .5. .2. .5. .3. .3. .2. .0. .4. .0. .4. .1
..5. .5. .6. .6. .1. .0. .2. .0. .2. .5. .3. .5. .3. .5. .0. .6
..4. .4. .1. .4. .3. .0. .4. .1. .6. .3. .5. .3. .1. .0. .3. .3
CROSSREFS
Cf. A269619.
Sequence in context: A014949 A228738 A057845 * A269581 A269433 A269688
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 01 2016
STATUS
approved