Danylo Ivanov

Constant d: A Factorial-Based Infinite Product, Companion to D, with Geometric Interpretations in Stochastic, Combinatorial, and Algebraic Geometry

We study the convergent infinite product d = Product_{n>=0} (1 - 1/(2*n!+1)) ≈ 0.31991462763026131388..., the void/vacancy companion to the constant D = Sum_{n>=0} 1/(2*n!+1) ≈ 0.96895437... (OEIS A396384). We prove convergence with an explicit truncation bound, an exact power-su...