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Number of base 30 n-digit numbers with adjacent digits differing by one or less.
4

%I #5 Mar 31 2012 12:35:05

%S 1,30,88,260,770,2284,6782,20154,59928,178284,530606,1579726,4704572,

%T 14014274,41756092,124439108,370913490,1105756236,3296937150,

%U 9831523710,29321421468,87457888182,260890934448,778326317088

%N Number of base 30 n-digit numbers with adjacent digits differing by one or less.

%C [Empirical] a(base,n)=a(base-1,n)+3^(n-1) for base>=n; a(base,n)=a(base-1,n)+3^(n-1)-2 when base=n-1

%o (S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>1)+($[i+1]`-$[i]`>1))

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 26 2006