A269407 Number of length-n 0..6 arrays with no repeated value greater than or equal to the previous repeated value.
7, 49, 336, 2289, 15477, 104006, 695135, 4623815, 30625210, 202067047, 1328649469, 8708852838, 56920021347, 371043659463, 2412849114074, 15655214564192, 101363364976160, 655024985471255, 4225174990367555, 27207648363845138
Offset: 1
Keywords
Examples
Some solutions for n=6 ..4. .4. .5. .6. .4. .3. .6. .0. .6. .6. .3. .5. .5. .2. .1. .0 ..6. .4. .3. .2. .0. .0. .4. .3. .0. .2. .6. .1. .1. .1. .6. .4 ..5. .5. .1. .4. .1. .3. .6. .1. .3. .1. .1. .2. .5. .6. .5. .6 ..1. .1. .0. .0. .1. .4. .2. .4. .2. .2. .3. .6. .5. .5. .1. .5 ..6. .2. .6. .1. .5. .4. .1. .0. .6. .4. .3. .2. .2. .6. .0. .1 ..5. .3. .4. .5. .2. .3. .6. .3. .5. .6. .5. .0. .6. .5. .4. .2
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A269409.
Formula
Empirical: a(n) = 42*a(n-1) -735*a(n-2) +6748*a(n-3) -32319*a(n-4) +53130*a(n-5) +172655*a(n-6) -705840*a(n-7) -418320*a(n-8) +3386880*a(n-9) +2522016*a(n-10) -7402752*a(n-11) -13063680*a(n-12) -7838208*a(n-13) -1679616*a(n-14)
Comments