A124954 Number of base 26 circular n-digit numbers with adjacent digits differing by 2 or less.

1, 26, 124, 464, 2032, 8956, 40498, 185358, 857352, 3996572, 18748294, 88404078, 418649134, 1989796094, 9486867052, 45353726944, 217336589784, 1043666874012, 5021108669734, 24196986793782, 116781703334762

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 (26, -276, 1472, -3520, -1364, 26235, -38076, -55671, 171530, 18971, -349296, 102674, 410216, -187435, -296636, 150952, 132708, -65631, -35400, 15386, 5160, -1755, -340, 75, 6, -1).

Crossrefs

Cf. Row 26 of A285280.