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Computational guidance is an emerging and accelerating trend in aerospace guidance and control. Combining machine learning and convex optimization, this paper presents a real-time computational guidance method for the 6-degrees-of-freedom powered landing guidance problem. The powered landing guidance problem is formulated as an optimal control problem, which is then transformed into a convex optimization problem. Instead of brutally using the neural networks as the controller, we use neural networks to improve the state-of-the-art sequential convex programming (SCP) algorithm. Based on the deep neural network, an initial trajectory generator is designed to provide a satisfactory initial guess for the SCP algorithm. Benefitting from designing the initial trajectory generator as a sequence model predictor, the proposed data-driven SCP architecture is capable of improving the performance of any state-of-the-art SCP algorithm in various applications, not just powered landing guidance. The simulation results show that the proposed method can precisely guide the vehicle to the landing site. Moreover, through Monte Carlo tests, the proposed method can averagely save 40.8% of the computation time compared with the SCP method, while ensuring higher terminal states accuracy. The proposed computational guidance scheme is suitable for real-time applications.