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A126365 Number of base 11 n-digit numbers with adjacent digits differing by one or less. 4

%I #8 Nov 26 2012 11:54:25

%S 1,11,31,89,257,745,2165,6303,18375,53625,156629,457795,1338779,

%T 3916897,11463989,33563035,98286811,287884769,843365485,2471005371,

%U 7240717539,21219286113,62189049541,182274146987,534268171099

%N Number of base 11 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.: -(6*x^6+4*x^5-34*x^4-6*x^3+26*x^2-5*x-1) / ((x^2+2*x-1)*(2*x^4-4*x^3-2*x^2+4*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 July 13 08:08 EDT 2024. Contains 374274 sequences. (Running on oeis4.)