Find the missing term in the given series. $11, 13, 20, 48, 111, ?$

The pattern involves cubes plus increasing increments: 1³+1=11, 2³+1=13, 3³+1=28, but this doesn't match. The actual pattern is n³+(n-2): for n=3: 27+1=28 (but term is 20). Correct pattern: differences are 2, 7, 28, 63 where each follows n³-(n-1): 2=1³+1, 7=2³-1, 28=3³+1, 63=4³-1. Next difference: 5³+1=126, so 111+126=237. Alternatively: n³-(n-2) for odd positions and n³-(n-1) for even positions.