A124951 Number of base 23 circular n-digit numbers with adjacent digits differing by 2 or less.

1, 23, 109, 407, 1777, 7813, 35245, 160953, 742857, 3455597, 16177459, 76129593, 359815609, 1706868797, 8122449787, 38757778297, 185382123417, 888570946797, 4267072020187, 20525592779337, 98881792935527, 477011872851207

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 (23, -210, 910, -1406, -2888, 13004, -5440, -35735, 37373, 49139, -71097, -38050, 68300, 16925, -36185, -4145, 10375, 500, -1450, -25, 75).

Crossrefs

Cf. Row 23 of A285280.