Find the Values of P for Which the Series Is $\sum _ { n = 1 } ^ { \infty } 4 n \left( 1 + n ^ { 2 } \right) ^ { p }$

Find the values of p for which the series is convergent. $\sum _ { n = 1 } ^ { \infty } 4 n \left( 1 + n ^ { 2 } \right) ^ { p }$