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A126479
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Number of base 11 n-digit numbers with adjacent digits differing by three or less.
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2
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1, 11, 65, 399, 2473, 15381, 95757, 596341, 3714153, 23133309, 144085281, 897434333, 5589669241, 34815260805, 216846906193, 1350631326317, 8412409590489, 52396708044853, 326352989158113, 2032690173290461
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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)+7^(n-1) for base>=3n-2; a(base,n)=a(base-1,n)+7^(n-1)-2 when base=3n-3.
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LINKS
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FORMULA
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G.f.: (1+4*x-10*x^2-16*x^3+6*x^4+8*x^5) / (1-7*x+2*x^2+18*x^3-2*x^4-8*x^5) (conjectured). - Colin Barker, Jul 17 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]`-$[i+1]`>3)+($[i+1]`-$[i]`>3))
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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