|
%I #13 Jul 18 2017 01:46:30
%S 1,12,102,902,7982,70654,625402,5535834,49001208,433741054,3839319664,
%T 33984275534,300816572882,2662720010922,23569438972836,
%U 208628188925480,1846701623423840,16346337968616406,144691899110820286
%N Number of base 12 n-digit numbers with adjacent digits differing by five or less.
%C [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 G.f.: (1+3*x-6*x^2-4*x^3+5*x^4+x^5-x^6) / (1-9*x+12*x^3-3*x^4-3*x^5+x^6) (conjectured). - _Colin Barker_, Jul 17 2017
%o (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 Cf. Base 12 differing by four or less A126507, three or less A126480, two or less A126399, one or less A126366.
%K nonn,base
%O 0,2
%A _R. H. Hardin_, Dec 28 2006
|
