A124898 Number of base 17 circular n-digit numbers with adjacent digits differing by 2 or less.

1, 17, 79, 293, 1267, 5527, 24739, 112143, 513867, 2373647, 11035789, 51580623, 242148559, 1141014203, 5393615257, 25565881003, 121473190683, 578379092367, 2758998721111, 13182804752499, 63081972236317, 302258226703131

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 (17, -105, 245, 104, -1274, 912, 2310, -2361, -2039, 2218, 918, -920, -194, 156, 16, -8).

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 17 of A285280.

Sequence in context: A146594 A202138 A357740 * A036429 A126404 A142021

Adjacent sequences: A124895 A124896 A124897 * A124899 A124900 A124901

Keyword

nonn,base

Author

R. H. Hardin, Dec 28 2006

Status

approved