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A125469 Number of base 12 circular n-digit numbers with adjacent digits differing by 9 or less. 0

%I #14 Jul 18 2017 01:46:09

%S 1,12,138,1542,17782,205222,2369460,27358168,315883982,3647274798,

%T 42112344498,486239639898,5614244249860,64823465468332,

%U 748467912775938,8641997344805782,99782658458533982,1152115481155283262

%N Number of base 12 circular n-digit numbers with adjacent digits differing by 9 or less.

%C [Empirical] a(base,n)=a(base-1,n)+F(9) for base>=9.int(n/2)+1 and F(d) is the largest coefficient in (1+x+...+x^(2d))^n.

%F G.f.: (1-3*x^2-52*x^3+3*x^4+32*x^5) / ((1-x-x^2)*(1-11*x-7*x^2+8*x^3)) (conjectured). - _Colin Barker_, Jul 17 2017

%o (S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-1](($[i]`-$[(i+1)mod N]`>9)+($[(i+1)mod N]`-$[i]`>9))

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006

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Last modified April 25 11:34 EDT 2024. Contains 371967 sequences. (Running on oeis4.)