cp's OEIS Frontend

A126532 Number of base 11 n-digit numbers with adjacent digits differing by five or less.

%I A126532 #13 Jul 18 2017 01:46:34
%S A126532 1,11,91,781,6691,57343,491429,4211559,36093157,309319197,2650872719,
%T A126532 22718040927,194694139719,1668533310731,14299369323775,
%U A126532 122545928057115,1050221456858969,9000422339067177,77133829015319501
%N A126532 Number of base 11 n-digit numbers with adjacent digits differing by five or less.
%C A126532 [Empirical] a(base,n)=a(base-1,n)+11^(n-1) for base>=5n-4; a(base,n)=a(base-1,n)+11^(n-1)-2 when base=5n-5.
%F A126532 G.f.: (1+3*x-3*x^2-4*x^3+x^4+x^5) / ((1+x)*(1-9*x+3*x^2+6*x^3-x^4-x^5)) (conjectured). - _Colin Barker_, Jul 17 2017
%o A126532 (S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>5)+($[i+1]`-$[i]`>5))
%Y A126532 Cf. Base 11 differing by four or less A126506, three or less A126479, two or less A126398, one or less A126365.
%K A126532 nonn,base
%O A126532 0,2
%A A126532 _R. H. Hardin_, Dec 28 2006