A125318 Number of base 8 circular n-digit numbers with adjacent digits differing by 3 or less.

1, 8, 44, 212, 1156, 6428, 36338, 206942, 1183164, 6777860, 38866134, 222980282, 1279588414, 7343932838, 42151639560, 241943513252, 1388738207756, 7971319975484, 45755345035400, 262636025020328, 1507534275820126

Offset: 0

Author

R. H. Hardin, Dec 28 2006

Keywords

• nonn
• base

Comments

[Empirical] a(base,n)=a(base-1,n)+A025012(n+1) for base>=3.int(n/2)+1

Links

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

Formula

G.f.: (1 - 10*x^2 - 40*x^3 + 45*x^4 + 48*x^5 - 35*x^6 - 12*x^7 + 7*x^8) / ((1 + x)*(1 - 3*x + x^3)*(1 - 6*x + x^2 + 3*x^3 - x^4)) (conjectured). - Colin Barker, Jun 03 2017