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A064651
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a(n) = ceiling[a(n-1)/2] + a(n-2) with a(0)=0 and a(1)=1.
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1
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0, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 15, 20, 25, 33, 42, 54, 69, 89, 114, 146, 187, 240, 307, 394, 504, 646, 827, 1060, 1357, 1739, 2227, 2853, 3654, 4680, 5994, 7677, 9833, 12594, 16130, 20659, 26460, 33889, 43405, 55592, 71201, 91193, 116798, 149592
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..48.
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FORMULA
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a(n) = A064650(n)+1. a(n)/a(n-1) tends to (1+sqrt(17))/4 = 1.2807764...
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MATHEMATICA
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RecurrenceTable[{a[0]==0, a[1]==1, a[n]==Ceiling[a[n-1]/2]+a[n-2]}, a, {n, 50}] (* Harvey P. Dale, Aug 22 2012 *)
t = {0, 1}; Do[AppendTo[t, Ceiling[t[[-1]]/2] + t[[-2]]], {48}]; t (* T. D. Noe, Aug 22 2012 *)
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CROSSREFS
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Cf. A064324, A064325.
Sequence in context: A052336 A061287 A225500 * A094991 A225501 A117298
Adjacent sequences: A064648 A064649 A064650 * A064652 A064653 A064654
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley, Oct 04 2001
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STATUS
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approved
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