A056224 Image of number of divisors sequence (A000005) under "little Hankel" transform that sends [c_0, c_1, ...] to [d_0, d_1, ...] where d_n = c_n^2 - c_{n+1}*c_{n-1}.

2, -2, 5, -8, 12, -12, 10, -7, 10, -20, 32, -20, 8, -4, 17, -26, 32, -32, 28, -8, 8, -28, 58, -23, 4, -8, 28, -44, 60, -44, 28, -8, 0, -20, 73, -32, 8, -16, 56, -60, 60, -44, 24, 12, 4, -36, 94, -51, 24, -20, 28, -44, 56, -48, 48, -16, 8, -44, 140, -44, 4, 8, 25, -40, 56, -44, 28, -32, 56