|
|
A126544
|
|
Number of base 23 n-digit numbers with adjacent digits differing by five or less.
|
|
0
|
|
|
1, 23, 223, 2233, 22593, 229845, 2344951, 23959555, 244996403, 2506196601, 25642541441, 262394013219, 2685165779179, 27478998106253, 281214182348803, 2877908167110333, 29452244633456589, 301412164854186481
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
[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
|
|
LINKS
|
|
|
FORMULA
|
G.f.: -(2*x^11 -7*x^10 -24*x^9 +89*x^8 +67*x^7 -302*x^6 -20*x^5 +327*x^4 -56*x^3 -80*x^2 +8*x +1) / (x^11 -5*x^10 -9*x^9 +62*x^8 +3*x^7 -202*x^6 +65*x^5 +207*x^4 -90*x^3 -42*x^2 +15*x -1). - Alois P. Heinz, Sep 25 2015
|
|
PROG
|
(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>5)+($[i+1]`-$[i]`>5))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|