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A126399 Number of base 12 n-digit numbers with adjacent digits differing by two or less. 3
1, 12, 54, 250, 1168, 5486, 25848, 122024, 576748, 2728038, 12909648, 61108496, 289310874, 1369855464, 6486547342, 30716393200, 145458062754, 688830120102, 3262050022332, 15447978818780, 73156731187376, 346447866034700 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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

LINKS

Table of n, a(n) for n=0..21.

FORMULA

G.f.: (1+5*x-22*x^2-17*x^3+21*x^4+7*x^5-4*x^6) / (1-7*x+8*x^2+15*x^3-9*x^4-5*x^5+2*x^6) (conjectured). - Colin Barker, Jul 17 2017

PROG

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

CROSSREFS

Cf. Base 12 differing by one or less A126366.

Sequence in context: A005549 A124858 A183713 * A137938 A009726 A230920

Adjacent sequences:  A126396 A126397 A126398 * A126400 A126401 A126402

KEYWORD

nonn,base

AUTHOR

R. H. Hardin, Dec 28 2006

STATUS

approved

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Last modified February 18 19:54 EST 2019. Contains 320262 sequences. (Running on oeis4.)