%I #11 Jun 03 2017 06:28:14

%S 1,11,65,323,1849,10781,64325,388749,2371457,14559461,89788425,

%T 555446661,3443457697,21379001421,132867762617,826329001973,

%U 5141530912065,32001680946301,199227543918473,1240485517109477

%N Number of base 11 circular n-digit numbers with adjacent digits differing by 3 or less.

%C [Empirical] a(base,n)=a(base-1,n)+A025012(n+1) for base>=3.int(n/2)+1

%F G.f.: (1 - 28*x^2 - 56*x^3 + 318*x^4 + 112*x^5 - 540*x^6 - 48*x^7 + 224*x^8) / ((1 - 4*x - 2*x^2 + 4*x^3)*(1 - 7*x + 2*x^2 + 18*x^3 - 2*x^4 - 8*x^5)) (conjectured). - _Colin Barker_, Jun 03 2017

%o (S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-1](($[i]`-$[(i+1)mod N]`>3)+($[(i+1)mod N]`-$[i]`>3))

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006