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A086267
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a(n) = 3+ (H(n) mod 6) + floor(r) where H()=A005185() and r = (H(n) -2*H(n+1) +H(n+2) -4) / H(n).
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2
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1, 0, 2, 5, 4, 5, 7, 7, 2, 2, 2, 4, 4, 4, 6, 5, 6, 7, 7, 2, 2, 3, 2, 6, 4, 4, 6, 6, 7, 6, 4, 7, 7, 4, 5, 3, 4, 6, 5, 6, 7, 7, 2, 2, 2, 3, 2, 5, 3, 3, 2, 7, 4, 2, 3, 6, 5, 2, 4, 4, 5, 4, 7, 6, 3, 4, 8, 5, 5, 7, 3, 4, 6, 5, 7, 5, 2, 6, 7, 3, 4, 3, 3, 6, 4, 5, 7, 7, 6, 2, 2, 2, 2, 3, 2, 7, 7, 6, 2, 5, 2, 2, 3, 4, 3
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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MAPLE
| A005185 := proc(n)
option remember;
if n<=2 then
1
elif n > procname(n-1) and n > procname(n-2) then
procname(n-procname(n-1))+procname(n-procname(n-2));
end if;
end proc:
A086267 := proc(n)
local H ;
H := A005185(n) ;
H-2*A005185(n+1)+A005185(n+2)-4;
%/H ;
3+ floor(%)+ (H mod 6) ;
end proc:
seq(A086267(n), n=1..50) ; # R. J. Mathar, Oct 10 2011
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MATHEMATICA
| Hofstadter[n_Integer?Positive] := Hofstadter[n] = Hofstadter[n - Hofstadter[n-1]] + Hofstadter[n - Hofstadter[n-2]] Hofstadter[1] = Hofstadter[2] = 1 Digits=502 a=Table[Hofstadter[n], {n, 1, Digits}]; b=Table[Floor[(a[[n]]-2*a[[n+1]]+a[[n+2]]-4)/a[[n]]]+Mod[a[[n]], 6]+3, {n, 1, Digits-2}] ListPlot[b]
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CROSSREFS
| Sequence in context: A102066 A072970 A011036 * A197288 A053424 A184617
Adjacent sequences: A086264 A086265 A086266 * A086268 A086269 A086270
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KEYWORD
| nonn,obsc
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Aug 28 2003
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