New series representations of π, π3 and π5 in terms of Euler numbers and π2, π4 and π6 in terms of Bernoulli numbers

Abstract

New series representations for odd powers of π i.e. π, π3 and π5 in terms of Euler numbers and even powers of π i.e. π2, π4 and π6 in terms of Bernoulli numbers have been obtained empirically.

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