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%I #8 Jul 18 2017 08:00:56
%S 1,14,64,300,1418,6736,32098,153274,732980,3508800,16808758,80562042,
%T 386258512,1852391310,8885102252,42623064868,204486065796,
%U 981089277884,4707294583320,22586391528066,108375512842272,520021938034950
%N Number of base 14 n-digit numbers with adjacent digits differing by two or less.
%C [Empirical] a(base,n)=a(base-1,n)+5^(n-1) for base>=2n-1; a(base,n)=a(base-1,n)+5^(n-1)-2 when base=2n-2.
%F G.f.: (1+6*x-35*x^2-13*x^3+63*x^4+18*x^5-17*x^6-4*x^7) / (1-8*x+13*x^2+17*x^3-25*x^4-12*x^5+7*x^6+2*x^7) (conjectured). - _Colin Barker_, Jul 18 2017
%o (S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>2)+($[i+1]`-$[i]`>2))
%Y Cf. Base 14 differing by one or less A126368.
%K nonn,base
%O 0,2
%A _R. H. Hardin_, Dec 28 2006
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