A125455 Number of base 20 circular n-digit numbers with adjacent digits differing by 8 or less.

1, 20, 268, 3116, 41308, 559340, 7702750, 106934246, 1491033780, 20837241344, 291544100378, 4081622919042, 57160810856050, 800635091767934, 11215210012054526, 157108281806511326, 2200900956018966740

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.

OEIS Wiki, Number of base k circular n-digit numbers with adjacent digits differing by d or less

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: A025939 A278773 A021824 * A019928 A025934 A283517

Adjacent sequences: A125452 A125453 A125454 * A125456 A125457 A125458

Keyword

nonn,base

Author

R. H. Hardin, Dec 28 2006

Status

approved