The Fibonacci numbers are a sequence of numbers named after Leonardo of Pisa, known as Fibonacci (a contraction of filius Bonaccio, "son of Bonaccio"). Fibonacci's 1202 book Liber Abaci introduced the sequence to Western European mathematics, as an example, although the sequence had been previously described in Indian mathematics.The Fibonacci numbers first appeared, under the name mātrāmeru (mountain of cadence), in the work of the Sanskrit grammarian Pingala (Chandah-shāstra, the Art of Prosody, 450 or 200 BC). Prosody was important in ancient Indian ritual because of an emphasis on the purity of utterance. The Indian mathematician Virahanka (6th century AD) showed how the Fibonacci sequence arose in the analysis of metres with long and short syllables. Subsequently, the Jain philosopher Hemachandra (c.1150) composed a well known text on these. A commentary on Virahanka by Gopala in the 12th c. also revisits the problem in some detail.Source:http://www.nationmaster.com/encyclopedia/Tetranacci-number
There are many relations between these two numbers:In Chinese 4 is an unlucky number, eight is a lucky number8 is the base of the Octal numbering system, 4 is not used as the base of a numbering systemIn Octal 4 is 4 and 8 is 10Binary 4 is 100, binary 8 is 1000Mathematical ways of relating 4 and 8: 4*2=8, 4+4=8, ((4/4)x4) +((4/4)x4) =8, (8/4)3=84 is 22, 8 is 238 appears in the Fibernachi series 4 does notThe homonym of 4 means "in favour of", the homonym of 8 is the past tense of "eat"