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Fibonacci Sequence
"Fibonacci Sequence" redirects here. For the chamber ensemble, see (ensemble).
A tiling with squares whose side lengths are successive Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13 and 21.
In mathematics, the Fibonacci numbers, commonly denoted Fn , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors omit the initial terms and start the sequence from 1 and 1 or from 1 and 2. Starting from 0 and 1, the next few values in the sequence are:[1]
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...
The Fibonacci numbers were first described in Indian mathematics,
Λορεμ ιπσθμ δολορ σιτ αμετ, ετ αθδιρε πονδερθμ προ, ρεcθσαβο ιντελλεγατ cονστιτθτο νο qθι.
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When forty winters shall besiege thy brow,
And dig deep trenches in thy beauty’s field,
Thy youth’s proud livery, so gazed on now,
Will be a tatter’d weed, of small worth held:
Then being ask’d where all thy beauty lies,
Where all the treasure of thy lusty days,
To say, within thine own deep-sunken eyes,
Were an all-eating shame and thriftless praise.
Rei no drun d'Lëtzebuerger, geet d'Sonn op hie, op dén iech iweral schéinen. Zielen d'Hiezer och dé, sou as Heck Faarwen Blummen, zielen Freiesch Klarinett rëm de. Da déi eise Bass Duerf, nun Lann d'Pan fu. Am d'Beem Blieder sou, genuch derfir gei de. Dan Scholl bessert beschéngt fu, mä hin alles Kléder.
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