Lucas Number

What Are Lucas number?
The Lucas numbers are an integer sequence named after the mathematician François Édouard Anatole Lucas (1842–1891), who studied both that sequence and the closely related Fibonacci numbers (both are Lucas sequences). Like the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, i.e. it is a Fibonacci integer sequence. Consequently, the ratio between two consecutive Lucas numbers converges to the golden ratio(1.618). However, the first two Lucas numbers are L0 = 2 and L1 = 1 instead of 0 and 1, and the properties of Lucas numbers are therefore somewhat different from those of Fibonacci numbers. The sequence of Lucas numbers begins:
2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123

How are they significant?
1. Their ratio which is same as that of fibbonacci numbers i.e. 1.618 0r 0.618 forms a support and resistance levels for dips and rallies respectively
2. In many cases it can be found that a signifcant top or bottom is made in the timeframe since the rally or dips start.
e.g. Top of 10482 was formed on sensex on 7th Jan 2009 after 47 days from bottom 27th October 2008
e.g. Bottom of 18th march 2008 was made after 47 days from top of 10th January 2008