# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a269775 Showing 1-1 of 1 %I A269775 #8 Jan 29 2019 05:49:52 %S A269775 8,64,512,4088,32592,259504,2063880,16398144,130175360,1032602872, %T A269775 8185566032,64850011184,513508842504,4064330589760,32155606323456, %U A269775 254314670475768,2010717722177360,15893207240651440,125593338184358408 %N A269775 Number of length-n 0..7 arrays with every repeated value unequal to the previous repeated value plus one mod 7+1. %H A269775 R. H. Hardin, Table of n, a(n) for n = 1..210 %F A269775 Empirical: a(n) = 14*a(n-1) - 42*a(n-2) -49*a(n-3). %F A269775 Empirical g.f.: 8*x*(1 - 6*x - 6*x^2) / ((1 - 7*x)*(1 - 7*x - 7*x^2)). - _Colin Barker_, Jan 29 2019 %e A269775 Some solutions for n=5: %e A269775 ..4. .2. .0. .1. .2. .0. .2. .7. .4. .3. .1. .0. .7. .5. .5. .6 %e A269775 ..3. .3. .0. .1. .2. .5. .0. .1. .7. .1. .0. .5. .1. .2. .1. .6 %e A269775 ..4. .2. .6. .0. .6. .5. .0. .1. .1. .5. .3. .2. .5. .6. .7. .6 %e A269775 ..3. .0. .1. .4. .4. .1. .7. .5. .3. .3. .3. .4. .3. .1. .1. .5 %e A269775 ..5. .1. .5. .1. .0. .4. .5. .5. .0. .1. .3. .0. .1. .1. .2. .7 %Y A269775 Column 7 of A269776. %K A269775 nonn %O A269775 1,1 %A A269775 _R. H. Hardin_, Mar 04 2016 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE