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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 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 January 18 20:57 EST 2019. Contains 319282 sequences. (Running on oeis4.)