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Number of base 19 circular n-digit numbers with adjacent digits differing by 8 or less.
0

%I #8 Mar 31 2012 12:35:02

%S 1,19,251,2899,38027,509239,6922823,94744711,1301066891,17895943729,

%T 246351600811,3392528778229,46727519959343,643666830505159,

%U 8866832290305149,122147626590349999,1682697341501872923

%N Number of base 19 circular n-digit numbers with adjacent digits differing by 8 or less.

%C [Empirical] a(base,n)=a(base-1,n)+F(8) for base>=8.int(n/2)+1 and F(d) is the largest coefficient in (1+x+...+x^(2d))^n

%o (S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-1](($[i]`-$[(i+1)mod N]`>8)+($[(i+1)mod N]`-$[i]`>8))

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006