Ramanujan's 6–8–10 Equation and Beyond

Author: Chamberland Marc  

Publisher: Mathematical Association of America

ISSN: 1930-0980

Source: Mathematics Magazine, Vol.82, Iss.2, 2009-04, pp. : 135-140

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Abstract

Ramanujan's 6-8-10 formula has been described as one of his most beautiful results. Attempts to generalize this polynomial formula have been very limited. This note demonstrates how the computer can be used to find many similar formulas. A recurrence relationship is also found which may be used to prove various identities.