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A092263 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. 0
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; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Closely related to A079472 for terms with an even row. - Thomas Baruchel (baruchel(AT)users.sourceforge.net), Jul 28 2005

FORMULA

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

CROSSREFS

Sequence in context: A005045 A189376 A069241 * A170803 A182908 A076251

Adjacent sequences:  A092260 A092261 A092262 * A092264 A092265 A092266

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 18 2004

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.