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The continued fraction for Apéry's constant zeta(3) is [1; 4, 1, 18, 1, 1, 1, 4, 1, ...] (OEIS A013631). The positions at which the numbers 1, 2, ... occur in the continued ...

Approximations to Catalan's constant include K approx (9/(10))^(5/6) (1) approx ln(ln892)-1 (2) approx (1/(96))^(1/52) (3) approx (4/(51))^(1/29) (4) approx ...

All curves of constant width of width w have the same perimeter piw.

A non-Euclidean space with constant negative Gaussian curvature.

An elliptic function with no poles in a fundamental cell is a constant.

A spectrum containing the real numbers larger than Freiman's constant.

Always decreasing; never remaining constant or increasing. Also called strictly decreasing.

Always increasing; never remaining constant or decreasing. Also called strictly increasing.

The property of being the only possible solution (perhaps modulo a constant, class of transformation, etc.).

Apéry's constant is defined by zeta(3)=1.2020569..., (1) (OEIS A002117) where zeta(z) is the Riemann zeta function. Apéry (1979) proved that zeta(3) is irrational, although ...