By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two. Hence: 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765

Fibonacci numbers are closely related to Lucas numbers in that they are a complementary pair of Lucas sequences. They are intimately connected with the golden ratio, for example the closest rational approximations to the ratio are 2/1, 3/2, 5/3, 8/5 etc.  Applications include computer algorithms such as the Fibonacci search technique and the Fibonacci heap data structure, and graphs called Fibonacci cubes used for interconnecting parallel and distributed systems.

 The Fibonacci sequence appears often in nature as the underlying form of growing patterns. For example, conch shells and sunflowers follow the pattern as they grow in a spiral formation that increases as it moves outward. Other biological settings include: branching in trees, arrangement of leaves on a stem, the fruit spouts of a pineapple, the flowering of artichoke, an uncurling fern and the arrangement of a pine cone.

Fibonacci poetry is a literary form based on the Fibonacci number sequence. The sequence begins like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, etc. In order to find the

next number in the sequence, add the two preceding numbers. The sum of these two is the next number, which then is added to the one before it to get to the next number, and so on.

Deborah Haar Clark notes, that "Fibonacci poetry is not new. It’s been around in one form or another for centuries, with works applying the numerical sequence to syllables, words, or letters" (About.com Poetry).

However, The six-line, syllable count fibonacci itself was brought to wide public attention by Gregory K. Pincus on 1 April 2006. His blog has been the center of this new form of poetry. After Pincus published his blog on Fibs, they began appearing widely on the internet.  Pincus wrote on his blog, "To my surprise (and joy), I continue to find new threads of Fibs popping up all around the Web. I've seen Fibs in over a dozen different languages" (Wikipedia: Fib (poetry).

Fibonacci poems can embody the number sequence in two ways, either in numbers of syllables or in numbers of words. Some people write their poems so that each line contains the number of words of its place in the sequence, and some use the sequence to determine the number of syllables in each line. Both methods create very visual poems that display this naturally occurring growth pattern on the page (or screen) (About.com Poetry).