The congruence properties of Romik's sequence of Taylor coefficients of Jacobi's theta function ${\theta }_3$

Christian Krattenthaler, Thomas W. Müller

In [Ramanujan J. 52 (2020), 275-290], Romik considered the Taylor expansion of Jacobi's theta function ${\theta }_3(q)$ at $q=e^{-\pi }$ and encoded it in an integer sequence $(d(n){)}_{n\ge 0}$…