%I #11 Jul 18 2017 11:35:42

%S 1,17,157,1507,14607,142041,1382455,13458785,131037075,1275829041,

%T 12422061043,120947162241,1177600426155,11465692698745,

%U 111635587544291,1086938653558289,10582966126771531,103040932264504713

%N Number of base 17 n-digit numbers with adjacent digits differing by five or less.

%C [Empirical] a(base,n)=a(base-1,n)+11^(n-1) for base>=5n-4; a(base,n)=a(base-1,n)+11^(n-1)-2 when base=5n-5.

%F G.f.: (1+6*x-24*x^2-54*x^3+42*x^4+72*x^5-16*x^6-24*x^7) / (1-11*x+6*x^2+64*x^3-18*x^4-76*x^5+8*x^6+24*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]`-$[i+1]`>5)+($[i+1]`-$[i]`>5))

%Y Cf. Base 17 differing by four or less A126512, three or less A126485, two or less A126404, one or less A126371.

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006