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 A126393 Number of base 6 n-digit numbers with adjacent digits differing by two or less. 2
 1, 6, 24, 100, 418, 1748, 7310, 30570, 127842, 534628, 2235784, 9349922, 39100844, 163517514, 683820978, 2859700582, 11959105792, 50012302772, 209148616298, 874647662172, 3657726962214, 15296406894730, 63968706878962 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS 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 Sergey Kitaev, Jeffrey Remmel, (a,b)-rectangle patterns in permutations and words, arXiv:1304.4286 [math.CO], 2013. Index entries for linear recurrences with constant coefficients, signature (4,1,-1). FORMULA G.f.: 1 -2*x*(-3+x^2) / ( 1-4*x-x^2+x^3 ). - R. J. Mathar, Jun 06 2013 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 6 differing by one or less A126360. Sequence in context: A117614 A037688 A255471 * A265697 A120583 A089378 Adjacent sequences:  A126390 A126391 A126392 * A126394 A126395 A126396 KEYWORD nonn,base AUTHOR R. H. Hardin, Dec 28 2006 STATUS approved

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Last modified December 13 22:55 EST 2019. Contains 329974 sequences. (Running on oeis4.)