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binetwor
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There are 8 letters in BINETWOR ( B3E1I1N1O1R1T1W4 )
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In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones:* * * * 1 * , * * 1 * , * * 2 * , * * 3 * , * * 5 * , * * 8 * , * * 13 * , * * 21 * , * * 34 * , * * 55 * , * * 89 * , * * 144 * , * * … * * * {\displaystyle 1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\;\ldots } * Often, especially in modern usage, the sequence is extended by one more initial term: * * * * * 0 * , * * 1 * , * * 1 * , * * 2 * , * * 3 * , * * 5 * , * * 8 * , * * 13 * , * * 21 * , * * 34 * , * * 55 * , * * 89 * , * * 144 * , * * … * * * {\displaystyle 0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\;\ldots } * * By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two. * The sequence Fn of Fibonacci numbers is defined by the recurrence relation: * * * * * * F * * n * * * = * * F * * n * − * 1 * * * + * * F * * n * − * 2 * * * , * * * {\displaystyle F_{n}=F_{n-1}+F_{n-2},} * with seed values * * * * * * F * * 1 * * * = * 1 * , * * * F * * 2 * * * = * 1 * * * {\displaystyle F_{1}=1,\;F_{2}=1} * or * * * * * * F * * 0 * * * = * 0 * , * * * F * * 1 * * * = * 1. * * * {\displaystyle F_{0}=0,\;F_{1}=1.} * Fibonacci numbers appear to have first arisen in perhaps 200 BC in work by Pingala on enumerating possible patterns of poetry formed from syllables of two lengths. The Fibonacci sequence is named after Italian mathematician Leonardo of Pisa, known as Fibonacci. His 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been described earlier in Indian mathematics. The sequence described in Liber Abaci began with F1 = 1. Fibonacci numbers were ... |