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Search: id:A064324
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| A064324 |
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a(n)=a(n-1)+floor[a(n-2)/2] with a(0)=1 and a(1)=2. |
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+0
4
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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
(list; graph; listen)
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OFFSET
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0,2
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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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EXAMPLE
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a(5)=a(4)+floor[a(3)/2]=4+floor[3/2]=5.
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PROGRAM
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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) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 11 2009]
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CROSSREFS
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Sequence in context: A078027 A134816 A072493 this_sequence A032277 A133498 A097600
Adjacent sequences: A064321 A064322 A064323 this_sequence A064325 A064326 A064327
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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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