|
%I #10 Jul 18 2017 08:03:43
%S 1,14,124,1144,10616,98600,915904,8508084,79034176,734172816,
%T 6819958040,63352697344,588502780296,5466784162856,50782647228176,
%U 471735701043648,4382098684999456,40706668676111984,378136822974584768
%N Number of base 14 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+4*x-12*x^2-14*x^3+20*x^4+6*x^5-6*x^6) / (1-10*x+4*x^2+26*x^3-16*x^4-10*x^5+6*x^6) (conjectured). - _Colin Barker_, Jul 18 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 14 differing by four or less A126509, three or less A126482, two or less A126401, one or less A126368.
%K nonn,base
%O 0,2
%A _R. H. Hardin_, Dec 28 2006
|
