For zero-coefficient recurrences like the Lagonacci sequence, greedy decompositions exhibit Gaussian summand counts, geometrically decaying gaps, and exponential non-uniqueness at rate 2, with robustness via ensemble equivalence.
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Gaussian Behavior and Geometric Gaps in Decompositions from Recurrences with Zero Coefficients
For zero-coefficient recurrences like the Lagonacci sequence, greedy decompositions exhibit Gaussian summand counts, geometrically decaying gaps, and exponential non-uniqueness at rate 2, with robustness via ensemble equivalence.