Main SMS (2008)
An infinite series has a connection with one of the roots of the quartic equation and the
constant Pi.

,
where

, which is one of the roots of the quartic equation

.
The Riemann Zeta (7) constant has been found in a series in which the hyperbolic functions and other
math constants appear.
The infinite series of the BBP-type formula is found and used to compute the digits of the constant
.

.
Another series is found in terms of other math constants, namely

.
Click here to see other similar series of this type.
General Inverse Tangent Series of Unknown Names

,
It reveals many inverse tangent and Machine-like formulas. For example, the simple one of this type is obtained when n = 1, namely

.
Power Sum and Sum of Partial Power Sums for any positive integer n.
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Power Sum
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Sum of Partial Power Sums
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.