{'fraction_non_alphanumeric': 0.017977528089887642, 'fraction_numerical': 0.0, 'mean_word_length': 4.868421052631579, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Sums of reciprocals of the central binomial coefficients.

We consider a set of combinatorial sums involving the reciprocals of the central binomial coefficients and try to solve (or close) them by means of generating functions. We obtain a number of results for infinite sums, in some of which the golden ratio φ appears. Besides, we close some finite sums by applying the method of coefficients to the generating functions previously obtained.