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Number of base 32 n-digit numbers with adjacent digits differing by four or less.
1

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

%S 1,32,268,2292,19748,170904,1483284,12899556,112350184,979640156,

%T 8549531716,74665238648,652426700120,5703387501520,49875030912772,

%U 436266613941484,3816936851122500,33400491065984904,292314430831005104

%N Number of base 32 n-digit numbers with adjacent digits differing by four or less.

%C [Empirical] a(base,n)=a(base-1,n)+9^(n-1) for base>=4n-3; a(base,n)=a(base-1,n)+9^(n-1)-2 when base=4n-4

%o (S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>4)+($[i+1]`-$[i]`>4))

%Y Cf. Base 32 differing by three or less A126500, two or less A126419, one or less A126386.

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006