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A126484 Number of base 16 n-digit numbers with adjacent digits differing by three or less. 2
1, 16, 100, 644, 4188, 27384, 179612, 1180228, 7763498, 51099608, 336460302, 2215852392, 14594879684, 96137054032, 633284508204, 4171739971970, 27481572723178, 181037861103928, 1192612216360274, 7856520861476702 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

[Empirical] a(base,n)=a(base-1,n)+7^(n-1) for base>=3n-2; a(base,n)=a(base-1,n)+7^(n-1)-2 when base=3n-3.

LINKS

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

FORMULA

G.f.: (1+6*x-41*x^2-22*x^3+83*x^4+6*x^5-39*x^6+x^7+4*x^8) / (1-10*x+19*x^2+30*x^3-45*x^4-14*x^5+21*x^6+x^7-2*x^8) (conjectured). - Colin Barker, Jul 18 2017

PROG

(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>3)+($[i+1]`-$[i]`>3))

CROSSREFS

Cf. Base 16 differing by two or less A126403, one or less A126370.

Sequence in context: A052206 A169721 A125326 * A091100 A061432 A115328

Adjacent sequences:  A126481 A126482 A126483 * A126485 A126486 A126487

KEYWORD

nonn,base

AUTHOR

R. H. Hardin, Dec 27 2006

STATUS

approved

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Last modified October 21 08:42 EDT 2018. Contains 316405 sequences. (Running on oeis4.)