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A126529 Number of base 8 n-digit numbers with adjacent digits differing by five or less. 0
1, 8, 58, 426, 3124, 22914, 168066, 1232708, 9041498, 66316346, 486408084, 3567639634, 26167436306, 191929340708, 1407737135338, 10325278224266, 75732441613044, 555471977422754, 4074200053901346, 29882886543125508 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

[Empirical] a(base,n)=a(base-1,n)+11^(n-1) for base>=5n-4; a(base,n)=a(base-1,n)+11^(n-1)-2 when base=5n-5.

LINKS

Table of n, a(n) for n=0..19.

FORMULA

Conjectures from Colin Barker, Jun 01 2017: (Start)

G.f.: (1 + x - x^2) / (1 - 7*x - 3*x^2 + 4*x^3).

a(n) = 7*a(n-1) + 3*a(n-2) - 4*a(n-3) for n>2.

(End)

PROG

(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>5)+($[i+1]`-$[i]`>5))

CROSSREFS

Cf. Base 8 differing by four or less A126503, three or less A126476, two or less A126395, one or less A126362.

Sequence in context: A178730 A190978 A254663 * A039759 A244939 A047867

Adjacent sequences:  A126526 A126527 A126528 * A126530 A126531 A126532

KEYWORD

nonn,base

AUTHOR

R. H. Hardin, Dec 28 2006

STATUS

approved

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Last modified March 8 08:16 EST 2021. Contains 341942 sequences. (Running on oeis4.)