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Number of base 12 circular n-digit numbers with adjacent digits differing by 5 or less.
0

%I #10 May 28 2021 13:15:10

%S 1,12,102,762,6442,55562,486102,4278734,37774538,333954114,2954331502,

%T 26143583918,231384164326,2048007248286,18127716503740,

%U 160457920059992,1420307031097690,12572010392961098,111282760217915184

%N Number of base 12 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