A formula for correction terms of Brieskorn spheres

Let $p>1$ be an odd integer, let $k$ be an integer satisfying $\gcd(k,2p)=1$ and $k\not\equiv\pm1\pmod{2p}$, and let $n$ be an integer. For a rational homology sphere $Y$, write $d(Y)$ for its Heegaard Floer correction term, and let $\Sigma(a,b,c)$ denote the Brieskorn sphere with parameters $a,b,c$. Correction-term formula.

$$d\left(-\Sigma\left(2,p,2pn-k\right)\right)= \begin{cases} 0,&p\equiv1\pmod4,\\ -2,&p\equiv3\pmod4, \end{cases}$$

and

$$d\left(-\Sigma\left(2,p,2pn+k\right)\right)= \begin{cases} 0,&p\equiv3\pmod4,\\ -2,&p\equiv1\pmod4. \end{cases}$$

These formulas give correction terms for two infinite families of Brieskorn spheres and contribute to the study of Heegaard Floer invariants of non-alternating knots. The supplied source does not indicate whether this statement is conjectural or resolved.