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

0,2

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 (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).

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 29 of A285280.

Sequence in context: A162834 A145980 A142622 * A126416 A023277 A299109

Adjacent sequences: A124954 A124955 A124956 * A124958 A124959 A124960

Keyword

nonn,base

Author

R. H. Hardin, Dec 28 2006

Status

approved