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
Keywords
Examples
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
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A269435.
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)
Comments