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A093335 a(0) = 0, a(1) = 1 and for n >= 0, a(n+2) = int(4 * a(n) * a(n+1) / (a(n) + a(n+1))). +0
3
1, 1, 2, 2, 4, 5, 8, 12, 19, 29, 45, 70, 109, 170, 265, 414, 646, 1009, 1575, 2460, 3840, 5997, 9364, 14622, 22833, 35654, 55676, 86940, 135762, 211998, 331047, 516946, 807239, 1260545, 1968408, 3073772, 4799858, 7495231, 11704199, 18276724 (list; graph; listen)
OFFSET

0,3

COMMENT

Harmonic-mean analogue of Fibonacci sequence.

Terms in the Fibonacci sequence are equivalent to twice the arithmetic mean of the previous two terms. Terms in this sequence are floor(twice the harmonic mean of the previous two terms).

EXAMPLE

a(5) = 4 because a(5) = int(4 * (a(3) * a(4) / (a(3)+a(4))) = int(16/4) = 4

CROSSREFS

Cf. A000045, A093333, A093332.

Sequence in context: A078465 A094992 A079501 this_sequence A093333 A116085 A085570

Adjacent sequences: A093332 A093333 A093334 this_sequence A093336 A093337 A093338

KEYWORD

easy,nonn

AUTHOR

Robert A. Stump (rstump_2004(AT)yahoo.com), Apr 25 2004

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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