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 as Virahankanumbers in Indian mathematics.
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Fibonacci did not "make" his numbers. They had been studied before by Indian mathematicians and were known as Virahanka numbers. In this context, Fibonacci's only real claim to fame was that he introduced them to mathematicians in the West, who trailed behind the Arabic and Indian mathematicians. Fibonacci introduced them in the 13th Century, some six centuries after the Indian mathematicians had "made" them.