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A126533
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Number of base 12 n-digit numbers with adjacent digits differing by five or less.
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0
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1, 12, 102, 902, 7982, 70654, 625402, 5535834, 49001208, 433741054, 3839319664, 33984275534, 300816572882, 2662720010922, 23569438972836, 208628188925480, 1846701623423840, 16346337968616406, 144691899110820286
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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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FORMULA
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G.f.: (1+3*x-6*x^2-4*x^3+5*x^4+x^5-x^6) / (1-9*x+12*x^3-3*x^4-3*x^5+x^6) (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]`-$[i+1]`>5)+($[i+1]`-$[i]`>5))
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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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