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Search: id:A092263
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| A092263 |
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a(1)=1, a(n+1)=ceiling(phi*a(n))+1 if a(n) is odd, a(n+1)=ceiling(phi*a(n)) if a(n) is even, where phi=(1+sqrt(5))/2. |
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+0
1
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| 1, 3, 6, 10, 17, 29, 48, 78, 127, 207, 336, 544, 881, 1427, 2310, 3738, 6049, 9789, 15840, 25630, 41471, 67103, 108576, 175680, 284257, 459939, 744198, 1204138, 1948337, 3152477, 5100816, 8253294, 13354111, 21607407, 34961520, 56568928
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Closely related to A079472 for terms with an even row. - Thomas Baruchel (baruchel(AT)users.sourceforge.net), Jul 28 2005
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FORMULA
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For n>1, a(n) = floor(phi^n*(14+6*sqrt(5))/10) -1
(1/10) {4*Lucas(n+3) - 2(-1)^[n/2] - (-1)^[(n-1)/2] - 15 }. - R. Stephan, Dec 02 2004
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CROSSREFS
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Sequence in context: A094272 A005045 A069241 this_sequence A076251 A029864 A075111
Adjacent sequences: A092260 A092261 A092262 this_sequence A092264 A092265 A092266
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 18 2004
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