Fibonacci numbers - Fibonacci sequence

Japanese: フィボナッチ数 - フィボナッチすう（英語表記）Fibonacci sequence

The sequence of numbers { u _n } determined by the recurrence formula u ₀ = 0, u ₁ = 1, ..., u _n = u _{n -1} + u _{n -2} ( n = 2, 3, 4, ...) is called the Fibonacci sequence, and each term is called a Fibonacci number. u ₂ = 1, u ₃ = 2, u ₄ = 3, u ₅ = 5, u ₆ = 8, u ₇ = 13, u ₈ = 21, u ₉ = 34, u ₁₀ = 55. Fibonacci, commonly known as Leonardo of Pisa, wrote Liber abaci in 1202, which dealt with Arabic numerals and written arithmetic, and had a major impact on European mathematics.

Source: Heibonsha World Encyclopedia, 2nd Edition Information

Japanese:

漸化式u₀＝0,u₁＝1，……，u_n＝u_n－1＋u_n－2(n＝2,3,4，……)で定まる数列｛u_n｝をフィボナッチ数列，各項をフィボナッチ数という。u₂＝1,u₃＝2,u₄＝3,u₅＝5,u₆＝8,u₇＝13,u₈＝21,u₉＝34,u₁₀＝55である。フィボナッチ，通称ピサのレオナルドは1202年《アバクスの書Liber abaci》を著し，アラビア数字と四則の筆算を取り扱い，ヨーロッパの数学に大きな影響を与えた。

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