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A125345
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Number of base 8 circular n-digit numbers with adjacent digits differing by 4 or less.
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0
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1, 8, 52, 308, 2012, 13308, 88582, 590710, 3941716, 26308100, 175600282, 1172118538, 7823866514, 52224288462, 348597313326, 2326889050098, 15531999290132, 103676198275324, 692039319384424, 4619367120609720
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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)+A025014(n+1) for base>=4.int(n/2)+1
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LINKS
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FORMULA
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G.f.: (1 - 6*x^2 - 40*x^3 + 15*x^4 + 48*x^5 - 5*x^6 - 12*x^7) / ((1 - 2*x - x^2 + x^3)*(1 - 6*x - 5*x^2 + 3*x^3 + 2*x^4)) (conjectured). - Colin Barker, Jun 03 2017
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PROG
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(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-1](($[i]`-$[(i+1)mod N]`>4)+($[(i+1)mod N]`-$[i]`>4))
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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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