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A064324
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a(n) = a(n-1)+floor(a(n-2)/2) with a(0)=1, a(1)=2.
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6
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1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 22, 30, 41, 56, 76, 104, 142, 194, 265, 362, 494, 675, 922, 1259, 1720, 2349, 3209, 4383, 5987, 8178, 11171, 15260, 20845, 28475, 38897, 53134, 72582, 99149, 135440, 185014, 252734, 345241, 471608, 644228, 880032
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OFFSET
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0,2
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COMMENTS
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a(n)/a(n-1) approaches (1+sqrt(3))/2 = 1.3660254... for large n.
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LINKS
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Harry J. Smith, Table of n, a(n) for n = 0..400
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FORMULA
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a(n) = A064323(n)+1.
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EXAMPLE
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a(5) = a(4)+floor(a(3)/2) = 4+floor(3/2) = 5.
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PROG
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(PARI) { for (n=0, 400, if (n>1, a=a1 + a2\2; a2=a1; a1=a, if (n, a=a1=2, a=a2=1)); write("b064324.txt", n, " ", a) ) } [Harry J. Smith, Sep 11 2009]
(MAGMA) [n le 2 select n else Self(n-1)+Floor(Self(n-2)/2): n in [1..45]]; // Bruno Berselli, Apr 20 2012
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CROSSREFS
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Cf. A182229, A182230.
Sequence in context: A134816 A182097 A072493 * A173090 A032277 A205579
Adjacent sequences: A064321 A064322 A064323 * A064325 A064326 A064327
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley, Sep 11 2001
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STATUS
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approved
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