A124892 Number of base 14 circular n-digit numbers with adjacent digits differing by 2 or less.

1, 14, 64, 236, 1012, 4384, 19486, 87738, 399372, 1832672, 8464954, 39306138, 183315034, 858086906, 4029197992, 18969932356, 89518725372, 423283210304, 2004963114682, 9511428021442, 45182292435262, 214884038667702

Offset

0,2

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

Index entries for linear recurrences with constant coefficients, signature (14, -66, 88, 175, -458, -109, 680, -29, -410, 40, 96, -9, -6).

Prog

(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-1](($[i]`-$[(i+1)mod N]`>2)+($[(i+1)mod N]`-$[i]`>2))

Crossrefs

Cf. Row 14 of A285280.

Sequence in context: A275127 A074354 A212743 * A126401 A275268 A304873

Adjacent sequences: A124889 A124890 A124891 * A124893 A124894 A124895

Keyword

nonn,base

Author

R. H. Hardin, Dec 28 2006

Status

approved