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A059248 Numerator of 1/F1 + 1/F2 + 1/F3 + ... + 1/Fn where Fn is the n-th Fibonacci number (A000045). +0
4
1, 2, 5, 17, 91, 379, 5047, 35849, 614893, 6800951, 607326679, 3651532639, 851897554247, 24724573280923, 301787157353771, 14188276949397301, 22662903194758542865, 430644772287132696121, 1800653989272587268758525 (list; graph; listen)
OFFSET

0,2

EXAMPLE

a(4) = 17 because 1/F1 + 1/F2 + 1/F3 + 1/F4 = 1 + 1 + 1/2 + 1/3 = 17/6 and the numerator is 17

1, 2, 5/2, 17/6, 91/30, 379/120, 5047/1560, 35849/10920, 614893/185640, 6800951/2042040, 607326679/181741560, ... = A059247/A035105

MAPLE

BB:=n->sum(1/fibonacci(i), i=1..n): a:=n->floor(numer(BB(n))): seq(a(n), n=1..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 28 2007

CROSSREFS

Cf. A000045, A035105.

Sequence in context: A079805 A016121 A026822 this_sequence A143878 A081546 A103511

Adjacent sequences: A059245 A059246 A059247 this_sequence A059249 A059250 A059251

KEYWORD

nonn,easy,frac

AUTHOR

Avi Peretz (njk(AT)netvision.net.il), Jan 22 2001

EXTENSIONS

More terms from Naohiro Nomoto (6284968128(AT)geocities.co.jp), Jun 21 2001

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.


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