Research Article

Series Prediction Based on Algebraic Approximants

Table 2

The case of 𝑁 = 2 , 𝑝 0 = 𝑝 1 = 𝑝 2 = 1 for (4.5). Displayed are the coefficients of the Taylor series, the predicted coefficients, and absolute and relative errors of the predicted coefficients.

𝑗 𝑓 𝑗 𝑎 𝑗 | 𝑓 𝑗 𝑎 𝑗 | Relative error (%)

5 67.938 68.212.274.40
6 120.739 122.291 1.552 1.29
7 218.459 224.194 5.735 2.62
8 400.498 418.053 17.555 4.38
9 741.657 790.063 48.406 6.53
10 1384.425 1509.437 125.012 9.03