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%I #8 Jul 18 2017 07:59:17
%S 1,16,46,134,392,1150,3380,9948,29310,86430,255044,753040,2224514,
%T 6574100,19435570,57477542,170028792,503102142,1488974870,4407636908,
%U 13049761478,38642911632,114446028208,338991739166,1004221622462
%N Number of base 16 n-digit numbers with adjacent digits differing by one or less.
%C [Empirical] a(base,n)=a(base-1,n)+3^(n-1) for base>=n; a(base,n)=a(base-1,n)+3^(n-1)-2 when base=n-1.
%F G.f.: (1+7*x-70*x^2+139*x^3-5*x^4-161*x^5+48*x^6+39*x^7-5*x^8) / (1-9*x+28*x^2-29*x^3-15*x^4+39*x^5-6*x^6-9*x^7+x^8) (conjectured). - _Colin Barker_, Jul 18 2017
%o (S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>1)+($[i+1]`-$[i]`>1))
%K nonn,base
%O 0,2
%A _R. H. Hardin_, Dec 26 2006
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