A124894 Number of base 16 circular n-digit numbers with adjacent digits differing by 2 or less.

1, 16, 74, 274, 1182, 5146, 22988, 104008, 475702, 2193322, 10178844, 47489128, 222537384, 1046705104, 4938809502, 23367231454, 110821701894, 526680449962, 2507653172738, 11959006821214, 57115337351332, 273132653565388

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 (16, -91, 182, 155, -956, 362, 1692, -1027, -1400, 846, 556, -275, -92, 30, 4, -1).

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 16 of A285280.

Sequence in context: A300311 A058333 A232337 * A126403 A197873 A232863

Adjacent sequences: A124891 A124892 A124893 * A124895 A124896 A124897

Keyword

nonn,base

Author

R. H. Hardin, Dec 28 2006

Status

approved