Congruences modulo primes of the Romik sequence related to the Taylor expansion of the Jacobi theta constant θ_3

Robert Scherer

Recently, Romik determined in [9] the Taylor expansion of the Jacobi theta constant θ_3, around the point x = 1. He discovered a new integer sequence, (d(n))_0^\infty=1, 1, -1, 51,…