A125446 - OEIS

A125446

Number of base 11 circular n-digit numbers with adjacent digits differing by 8 or less.

1, 11, 115, 1163, 12199, 128101, 1345957, 14142615, 148604911, 1561482659, 16407457035, 172403230769, 1811546669413, 19035033876467, 200012796160859, 2101657338173563, 22083404921552671, 232043903671421293

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OFFSET

0,2

COMMENTS

[Empirical] a(base,n)=a(base-1,n)+F(8) for base>=8.int(n/2)+1 and F(d) is the largest coefficient in (1+x+...+x^(2d))^n

LINKS

Table of n, a(n) for n=0..17.

FORMULA

G.f.: (1 - 3*x^2 - 46*x^3 + 3*x^4 + 28*x^5) / ((1 - x - x^2)*(1 - 10*x - 6*x^2 + 7*x^3)) (conjectured). - Colin Barker, Jun 04 2017

PROG

(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-1](($[i]`-$[(i+1)mod N]`>8)+($[(i+1)mod N]`-$[i]`>8))

CROSSREFS

Sequence in context: A251261 A332729 A160465 * A287838 A271477 A076554

Adjacent sequences: A125443 A125444 A125445 * A125447 A125448 A125449

KEYWORD

nonn,base

AUTHOR

R. H. Hardin, Dec 28 2006

STATUS

approved