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A269406
Number of length-n 0..5 arrays with no repeated value greater than or equal to the previous repeated value.
1
6, 36, 210, 1215, 6960, 39560, 223320, 1253190, 6995660, 38870136, 215074596, 1185563746, 6512894520, 35666937840, 194765568024, 1060744346079, 5762980508994, 31239002042780, 168977143019910, 912220049428041
OFFSET
1,1
COMMENTS
Column 5 of A269409.
LINKS
FORMULA
Empirical: a(n) = 30*a(n-1) -360*a(n-2) +2090*a(n-3) -4905*a(n-4) -5076*a(n-5) +41160*a(n-6) -9900*a(n-7) -151875*a(n-8) -6250*a(n-9) +300000*a(n-10) +281250*a(n-11) +78125*a(n-12)
EXAMPLE
Some solutions for n=6
..5. .0. .4. .3. .3. .1. .2. .4. .4. .1. .0. .0. .2. .2. .2. .0
..2. .5. .2. .1. .5. .3. .5. .4. .0. .5. .3. .1. .3. .4. .5. .4
..1. .0. .4. .5. .2. .0. .4. .2. .5. .2. .3. .5. .5. .1. .2. .2
..2. .5. .4. .2. .4. .3. .0. .0. .5. .5. .1. .2. .4. .4. .5. .4
..0. .4. .5. .0. .4. .5. .1. .0. .1. .4. .3. .1. .3. .5. .2. .5
..3. .1. .3. .3. .3. .1. .0. .5. .2. .1. .0. .0. .1. .3. .2. .1
CROSSREFS
Cf. A269409.
Sequence in context: A269637 A269534 A269675 * A269603 A027910 A075848
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 25 2016
STATUS
approved