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Number of base 26 circular n-digit numbers with adjacent digits differing by 5 or less.
0

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

%S 1,26,256,2036,18916,178776,1730542,16983454,168485308,1685157860,

%T 16963782666,171654215594,1744297209730,17786783187134,

%U 181898203342216,1864685423926896,19153948120401164,197081201888778900

%N Number of base 26 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