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 A126394 Number of base 7 n-digit numbers with adjacent digits differing by two or less. 3
 1, 7, 29, 125, 543, 2363, 10287, 44787, 194995, 848979, 3696331, 16093291, 70067867, 305065387, 1328210699, 5782837835, 25177641963, 109619822123, 477268896747, 2077959947307, 9047137938475, 39389933855019 (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 (5,-2,-4,2). FORMULA G.f.: 1 -x*(7-6*x-6*x^2+4*x^3) / ( (x-1)*(2*x^3-2*x^2-4*x+1) ). - 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 7 differing by one or less A126361. Sequence in context: A327587 A055427 A048876 * A252832 A074468 A303091 Adjacent sequences:  A126391 A126392 A126393 * A126395 A126396 A126397 KEYWORD nonn,base AUTHOR R. H. Hardin, Dec 28 2006 STATUS approved

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Last modified January 20 08:54 EST 2022. Contains 350471 sequences. (Running on oeis4.)