A125473 Number of base 16 circular n-digit numbers with adjacent digits differing by 9 or less.

1, 16, 214, 2626, 35338, 480386, 6560422, 89700102, 1226932234, 16784082754, 229609445214, 3141133904078, 42971898107398, 587872363583846, 8042326088300396, 110022206635195496, 1505147409633416538

Offset

0,2

Comments

[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

Links

Table of n, a(n) for n=0..16.

Prog

(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))

Crossrefs

Sequence in context: A284226 A282395 A273588 * A245828 A239096 A269290

Adjacent sequences: A125470 A125471 A125472 * A125474 A125475 A125476

Keyword

nonn,base

Author

R. H. Hardin, Dec 28 2006

Status

approved