A124857 Number of base 11 circular n-digit numbers with adjacent digits differing by 2 or less.

1, 11, 49, 179, 757, 3241, 14233, 63333, 284877, 1291697, 5894119, 27031653, 124481521, 575160311, 2664800299, 12374329729, 57568895517, 268238883291, 1251429223153, 5844466935453, 27318547433927, 127784523940077

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

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 (11, -36, 12, 105, -77, -102, 66, 35, -15, -3, 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))
(PARI) Vec((-1+36*x^2-24*x^3-315*x^4+308*x^5+510*x^6-396*x^7-245*x^8+120*x^9+27*x^10-10*x^11)/((1+x)*(1-5*x+4*x^2+2*x^3-x^4)*(1-7*x+9*x^2+11*x^3-11*x^4-2*x^5+x^6))+O(x^99)) \\ Charles R Greathouse IV, May 29 2026

Crossrefs

Cf. Row 11 of A285280.

Cf. A005191.

Sequence in context: A297521 A295420 A003063 * A302473 A126398 A159486

Adjacent sequences: A124854 A124855 A124856 * A124858 A124859 A124860

Keyword

nonn,base,easy

Author

R. H. Hardin, Dec 28 2006

Status

approved