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A269777
Number of length-5 0..n arrays with every repeated value unequal to the previous repeated value plus one mod n+1.
1
24, 222, 984, 3060, 7680, 16674, 32592, 58824, 99720, 160710, 248424, 370812, 537264, 758730, 1047840, 1419024, 1888632, 2475054, 3198840, 4082820, 5152224, 6434802, 7960944, 9763800, 11879400, 14346774, 17208072, 20508684, 24297360
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = n^5 + 5*n^4 + 10*n^3 + 7*n^2 + n.
Conjectures from Colin Barker, Jan 29 2019: (Start)
G.f.: 6*x*(4 + 13*x + 2*x^2 + x^3) / (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)
EXAMPLE
Some solutions for n=3:
..1. .1. .0. .3. .1. .0. .1. .0. .1. .3. .0. .0. .0. .0. .1. .0
..0. .0. .1. .0. .3. .2. .0. .2. .0. .0. .0. .0. .0. .0. .1. .3
..2. .2. .1. .1. .0. .2. .2. .3. .3. .0. .1. .2. .0. .2. .2. .3
..0. .3. .0. .2. .3. .3. .1. .3. .0. .0. .2. .3. .2. .3. .1. .3
..3. .3. .3. .2. .1. .1. .2. .3. .3. .2. .2. .1. .0. .3. .0. .0
CROSSREFS
Row 5 of A269776.
Sequence in context: A297679 A202073 A107968 * A024302 A181710 A201192
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 04 2016
STATUS
approved