So for the 3-wave we find the recurrence formula: a(n)=2a(n-2)+a(n-4)-a(n-6). In fact it turns out that the middle row of this 3-wave sequence fullfills the same recurrence formula. A recurrence formula for this sequence is a(n)= 2a(n-1)+a(n-2)-a(n-3). Is a known sequence, described by Jacques Haubrich in the Dutch journal for mathematics teachers "Euclides" as the number of paths with n reflections through 3 glass-plates. When we look more precisely to this sequence, we find that sequence formed by dropping the middle line of the wave 1 1 3 6 14 31 70 157 However, the 3-wave sequence looks less familiar: 1 3 14 70 353 All other numbers are found by adding the preceding number and the number left to it: 1 2 5 13 34 89 etc.Īs you see, we find the famous Fibonacci sequence here. a wave sequence of amplitude 2.Ī 2-wave sequence will consist of numbers positioned in the following way: * * * * * * etc.Īs a start we fill in the first two numbers. As an example let us start to create a 2-wave sequence, i.e. One way is to see it as a wave sequence.Ī wave sequence is made following a very simple algorithm. Enzo Valenzetti doesn't reveal exactly how he predicts the world will end but, in Lost's final season, Jacob ominously suggests that the Man in Black's escape from the island will have catastrophic consequences for the entire world, although he too is vague about the nature of this threat.The famous Fibonacci sequence can be generalized in several ways. Strangely then, the issue was never actually raised on the main Lost series.ĭespite remaining on the fringes of Lost's story, the Valenzetti Equation actually fits neatly alongside the series finale. DHARMA broadcast the numbers as a way of announcing that the formula had not yet changed, and the end of the world was still nigh.Īt face value, the Valenzetti Equation feels like a significant component of Lost's story, as it not only accounts for the existence of the DHARMA Initiative, but arguably provides a more definitive origin of the numbers that predates Jacob's final candidates. The DHARMA Initiative was established with the intention of changing these values, thus avoiding the apocalypse, and each area of their research on the island was geared towards this aim, with time travel, genetic manipulation and psychology all considered potential ways of altering the Valenzetti Equation. The resulting equation used the core values 4, 8, 15, 16, 23, 42. According to the game, a mathematician by the name of Enzo Valenzetti began working on a method to predict the end of the world in the 1960s. However, a wider purpose for the numbers was revealed by The Lost Experience, a canon alternate reality experience written by Lost's writers and producers with the intention of answering questions that the main series didn't have time to address. Related: Every Main Character Who Survived Lost The numbers represent the final six candidates: Locke, Hurley, Sawyer, Sayid, Jack and either Sun or Jin. Once the candidates were brought to the island, they were assigned a number that correlated to the degree the lighthouse was set at when spying on them. In selecting candidates to take over his role as protector of the island, Jacob used a special lighthouse to watch the outside world. Like many of Lost's mysteries, the true meaning of the numbers is open to debate, but the final season implies they originate from the God-like Jacob.
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