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We use a combination of analytical and numerical methods to study out-of-timeorder correlators (OTOCs) in the sparse Sachdev-Ye-Kitaev (SYK) model. We findthat at a given order of N , the standard result for the q-local, all-to-allSYK, obtained through the sum over ladder diagrams, is corrected by a series inthe sparsity parameter, k. We present an algorithm to sum the diagrams at anygiven order of 1/(kq)n. We also study OTOCs numerically as a function of thesparsity parameter and determine the Lyapunov exponent. We find that numericalstability when extracting the Lyapunov exponent requires averaging over amassive number of realizations. This trade-off between the efficiency of thesparse model and consistent behavior at finite N becomes more significant forlarger values of N .

Out-of-time-order correlators and Lyapunov exponents in sparse SYK