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Number of base 27 n-digit numbers with adjacent digits differing by five or less.
0

%I #7 Mar 31 2012 12:35:06

%S 1,27,267,2717,27917,288409,2989141,31042303,322776905,3358829107,

%T 34968972551,364173230843,3793272171773,39515744665327,

%U 411677827262455,4289079592113919,44687156668215307,465595502937636417

%N Number of base 27 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

%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 27 differing by four or less A126522, three or less A126495, two or less A126414, one or less A126381.

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006