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A114969
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Repeatedly divide by k, add d: k=2, d=5 case.
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0
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74, 37, 42, 21, 26, 13, 18, 9, 14, 7, 12, 6, 11
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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The next terms are non-integer: 11/2,21/2,21/4,41/4,41/8,81/8,81/16,161/16,... Independently on the initial term, the terms get closer and closer to the limit cycle a(n) = d*k/(k-1), a(n+1) = a(n)/2, a(n+2) = a(n+1)+d = a(n); in this case 10,5,10. Inspired by A112876.
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LINKS
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Table of n, a(n) for n=1..13.
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FORMULA
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From Chai Wah Wu, Sep 11 2018: (Start)
a(n) = (3*a(n-2) - a(n-4))/2 for n > 4.
G.f.: -x*(x + 2)*(69*x^2 - 74)/(x^4 - 3*x^2 + 2). (End)
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CROSSREFS
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Cf. A112876.
Sequence in context: A289853 A000319 A033394 * A104421 A352382 A136948
Adjacent sequences: A114966 A114967 A114968 * A114970 A114971 A114972
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov, Feb 22 2006
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STATUS
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approved
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