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A126503
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Number of base 8 n-digit numbers with adjacent digits differing by four or less.
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1
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1, 8, 52, 348, 2322, 15500, 103462, 690610, 4609826, 30770620, 205394096, 1371006978, 9151480836, 61086196378, 407750773322, 2721739165358, 18167627307952, 121269034961780, 809471627267722, 5403228578160660
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listen;
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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)+9^(n-1) for base>=4n-3; a(base,n)=a(base-1,n)+9^(n-1)-2 when base=4n-4.
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LINKS
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FORMULA
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G.f.: (1 + 2*x - x^2 - x^3) / (1 - 6*x - 5*x^2 + 3*x^3 + 2*x^4).
a(n) = 6*a(n-1) + 5*a(n-2) - 3*a(n-3) - 2*a(n-4) for n>3.
(End)
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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]`-$[i+1]`>4)+($[i+1]`-$[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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