Difference between revisions of "Fibonacci numbers"

Fibonacci numbers (view source)

544 bytes added , 03:07, 2 May 2020

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-<div class="floatright" style="text-align: center">
+<div style="text-align: center; padding-right: 300">
-[[File:Goldenratio_fibonacci.png|center|class=shadow|300px]]
+[[File:34 21-FibonacciBlocks.png|right|300px|thumb|A tiling with squares whose side lengths are successive Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13 and 21.]]
 </div>
+In mathematics, the '''Fibonacci numbers''', commonly denoted <math>F_n</math>, form a sequence, called the '''Fibonacci sequence''', such that each number is the sum of the two preceding ones, starting from 0 and 1. That is,
+:<math>F_0=0,\quad F_1= 1,</math>
+and
+:<math>F_n=F_{n-1} + F_{n-2},</math>
+for <math>n > 1</math>.
+The beginning of the sequence is thus:
+:<math>0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\; \ldots</math>
 == Resources: ==