A269433 Number of length-n 0..6 arrays with no repeated value greater than the previous repeated value.

7, 49, 343, 2380, 16408, 112476, 767172, 5209554, 35236110, 237479970, 1595378190, 10686193980, 71386033740, 475694666700, 3162645548916, 20982275486907, 138930896958189, 918219765681883, 6058251819231325, 39906814296599320

Offset

1,1

Comments

Column 6 of A269435.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 42*a(n-1) -749*a(n-2) +7308*a(n-3) -41601*a(n-4) +133686*a(n-5) -198037*a(n-6) -2136*a(n-7) +198037*a(n-8) +133686*a(n-9) +41601*a(n-10) +7308*a(n-11) +749*a(n-12) +42*a(n-13) +a(n-14)

Example

Some solutions for n=6
..0. .0. .0. .3. .5. .2. .5. .6. .6. .5. .3. .6. .0. .5. .6. .3
..4. .0. .1. .0. .4. .2. .5. .2. .4. .1. .6. .3. .4. .4. .3. .1
..6. .3. .6. .0. .0. .4. .0. .5. .0. .5. .0. .2. .3. .5. .3. .0
..5. .6. .4. .6. .5. .0. .1. .2. .3. .6. .0. .0. .4. .4. .3. .2
..4. .0. .5. .4. .0. .4. .3. .0. .2. .0. .4. .3. .6. .2. .5. .5
..4. .3. .6. .5. .5. .6. .2. .4. .3. .1. .3. .0. .3. .6. .2. .6

Crossrefs

Cf. A269435.

Sequence in context: A057845 A269617 A269581 * A269688 A269492 A269774

Adjacent sequences: A269430 A269431 A269432 * A269434 A269435 A269436

Keyword

nonn

Author

R. H. Hardin, Feb 26 2016

Status

approved