A048244 A048106 is applied to A001405: the terms indicate whether more, equal or fewer unitary than non-unitary divisors of the central binomial coefficient exists.

1, 2, 2, 4, 4, 2, 4, 8, 4, -2, 16, 8, 8, 0, 8, 16, 32, 16, 32, 16, 32, 0, 64, 32, -16, -64, -160, -256, -128, -224, 64, 128, 0, -256, 256, -128, -128, -512, 512, -256, 512, 0, 512, 0, -2048, -2816, -256, -1408, -1408, -2560, -2560, -4096, -1024, -1792, 2048