A124957 Number of base 29 circular n-digit numbers with adjacent digits differing by 2 or less.

1, 29, 139, 521, 2287, 10099, 45751, 209763, 971847, 4537547, 21319129, 100678563, 477482659, 2272723391, 10851284317, 51949675591, 249291056151, 1198762801227, 5775145319281, 27868380808227, 134681613733997

Offset: 0

Author

R. H. Hardin, Dec 28 2006

Keywords

• nonn
• base

Comments

[Empirical] a(base,n)=a(base-1,n)+A005191(n+1) for base>=2.int(n/2)+1.

See A285280 for confirmation of linear recurrence and code to produce sequence. - Ray Chandler, Aug 12 2023.

Links

• Ray Chandler, Table of n, a(n) for n = 0..99
• OEIS Wiki, Number of base k circular n-digit numbers with adjacent digits differing by d or less
• Index entries for linear recurrences with constant coefficients, signature (29, -351, 2223, -7125, 4855, 41169, -116127, -11518, 461660, -394783, -888839, 1297814, 959582, -2082755, -575155, 1998164, 147096, -1203642, 26940, 453526, -29156, -102473, 7707, 12670, -854, -714, 36, 12).

Crossrefs

Cf. Row 29 of A285280.