A125453 Number of base 18 circular n-digit numbers with adjacent digits differing by 8 or less.

1, 18, 234, 2682, 34746, 459138, 6145542, 82693062, 1115442522, 15062655582, 203502787774, 2750016143882, 37165774777998, 502308390521358, 6789007978120728, 91758451965134532, 1240188134759212874

Offset

0,2

Comments

[Empirical] a(base,n)=a(base-1,n)+F(8) for base>=8.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]`-$[(i+1)mod N]`>8)+($[(i+1)mod N]`-$[i]`>8))

Crossrefs

Sequence in context: A193982 A021094 A275963 * A016256 A017065 A016252

Adjacent sequences: A125450 A125451 A125452 * A125454 A125455 A125456

Keyword

nonn,base

Author

R. H. Hardin, Dec 28 2006

Status

approved