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A126538
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Number of base 17 n-digit numbers with adjacent digits differing by five or less.
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0
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1, 17, 157, 1507, 14607, 142041, 1382455, 13458785, 131037075, 1275829041, 12422061043, 120947162241, 1177600426155, 11465692698745, 111635587544291, 1086938653558289, 10582966126771531, 103040932264504713
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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COMMENTS
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[Empirical] a(base,n)=a(base-1,n)+11^(n-1) for base>=5n-4; a(base,n)=a(base-1,n)+11^(n-1)-2 when base=5n-5.
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LINKS
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Table of n, a(n) for n=0..17.
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FORMULA
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G.f.: (1+6*x-24*x^2-54*x^3+42*x^4+72*x^5-16*x^6-24*x^7) / (1-11*x+6*x^2+64*x^3-18*x^4-76*x^5+8*x^6+24*x^7) (conjectured). - Colin Barker, Jul 18 2017
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PROG
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(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>5)+($[i+1]`-$[i]`>5))
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CROSSREFS
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Cf. Base 17 differing by four or less A126512, three or less A126485, two or less A126404, one or less A126371.
Sequence in context: A176838 A176622 A125380 * A164746 A198859 A160295
Adjacent sequences: A126535 A126536 A126537 * A126539 A126540 A126541
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KEYWORD
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nonn,base
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AUTHOR
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R. H. Hardin, Dec 28 2006
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STATUS
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approved
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