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A126366 Number of base 12 n-digit numbers with adjacent digits differing by one or less. 4

%I #8 Nov 26 2012 12:45:24

%S 1,12,34,98,284,826,2408,7032,20562,60186,176312,516844,1515926,

%T 4448336,13058280,38345702,112633540,330918226,972433832,2858069380,

%U 8401323984,24698783724,72618671844,213530132914,627917268794

%N Number of base 12 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

%F Empirical G.f.: -(3*x^6+22*x^5-25*x^4-34*x^3+35*x^2-5*x-1) / (x^6+6*x^5-11*x^4-6*x^3+15*x^2-7*x+1). [_Colin Barker_, Nov 26 2012]

%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

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)