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Search: id:A064323
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| A064323 |
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a(n)=a(n-1)+ceiling[a(n-2)/2] with a(0)=0 and a(1)=1. |
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+0
1
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| 0, 1, 1, 2, 3, 4, 6, 8, 11, 15, 21, 29, 40, 55, 75, 103, 141, 193, 264, 361, 493, 674, 921, 1258, 1719, 2348, 3208, 4382, 5986, 8177, 11170, 15259, 20844, 28474, 38896, 53133, 72581, 99148, 135439, 185013, 252733, 345240, 471607, 644227, 880031
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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a(5)=a(4)+ceiling[a(3)/2]=3+ceiling[2/2]=4.
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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) =A064324(n)-1. a(n)/a(n-1) approaches (1+sqrt(3))/2=1.3660254... for large n.
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PROGRAM
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(PARI) { for (n=0, 400, if (n>1, a=a1 + ceil(a2/2); a2=a1; a1=a, if (n, a=a1=1, a=a2=0)); write("b064323.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 11 2009]
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CROSSREFS
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Sequence in context: A095814 A006683 A014213 this_sequence A003411 A034081 A064660
Adjacent sequences: A064320 A064321 A064322 this_sequence A064324 A064325 A064326
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Sep 11 2001
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