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Number of base 13 circular n-digit numbers with adjacent digits differing by 5 or less.
0

%I #10 Apr 24 2021 09:29:22

%S 1,13,113,853,7333,64363,574739,5174497,46797333,424220677,3850319843,

%T 34968769519,317694077779,2886778840153,26233562935679,

%U 238408390689523,2166688400848533,19691415248239135,178961780093458481

%N Number of base 13 circular n-digit numbers with adjacent digits differing by 5 or less.

%C [Empirical] a(base,n) = a(base-1,n)+F(5) for base>=5.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]`-$[(i+1)mod N]`>5)+($[(i+1)mod N]`-$[i]`>5))

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006