THE TRANSCENDENCE OF SERIES RELATED TO STERN'S DIATOMIC SEQUENCE
Michael James Coons · International Journal of Number Theory · 2010
We prove various transcendence results regarding the Stern sequence and related functions; in particular, we prove that the generating function of the Stern sequence is transcendental. Transcendence results are also proven for the generating function of the Stern polynomials and for power series whose coefficients arise from some special subsequences of Stern's sequence.