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A126535
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Number of base 14 n-digit numbers with adjacent digits differing by five or less.
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0
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1, 14, 124, 1144, 10616, 98600, 915904, 8508084, 79034176, 734172816, 6819958040, 63352697344, 588502780296, 5466784162856, 50782647228176, 471735701043648, 4382098684999456, 40706668676111984, 378136822974584768
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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+4*x-12*x^2-14*x^3+20*x^4+6*x^5-6*x^6) / (1-10*x+4*x^2+26*x^3-16*x^4-10*x^5+6*x^6) (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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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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