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Using Symbolic Dynamic Programming we describe algorithms, fully implementedin Maple, for automatically generating generating functions introduced byRichard Stanley in his study of generalized Stern arrays, generalized evenfurther, to arrays defined in terms of general sequences satisfying linearrecurrences with constant coefficients, rather than just the Fibonacci andk-bonacci sequences

Automated Generation of Generating Functions Related to Generalized Stern's Diatomic Arrays in the footsteps of Richard Stanley