The \({{\,\textrm{pod}\,}}(n)\) function, which counts the number of partitions of an integer n where the odd parts are distinct and the even parts are unrestricted, is regarded as one of the most celebrated restricted partition functions in the field. It finds mention in numerous works across various topics, such as lattice paths and Lie algebra. In this paper, we investigate the arithmetic behavior of \({{\,\textrm{pod}\,}}_{\ell }(n)\) , the number of partitions of n into distinct \(\ell \) -regular odd parts and unrestricted even parts, where \(\ell >1\) is odd. More precisely, we establish some congruences modulo 3, 4 and 12 for \({{\,\textrm{pod}\,}}_{\ell }(n)\) for \(\ell =3,9\) .
