Integer both Square and Triangular/Examples

Examples of Integer both Square and Triangular
The following integers are both square and triangular:
 * {| border="1"

! align="right" style = "padding: 2px 10px" | $\paren {m n}^2$ ! align="right" style = "padding: 2px 10px" | $m$ ! align="right" style = "padding: 2px 10px" | $2 n^2 \pm 1 = m^2$ ! align="right" style = "padding: 2px 10px" | $\dfrac {2 n^2 \paren {2 n^2 \pm 1} } 2$ ! align="right" style = "padding: 2px 10px" | $m n$ ! align="right" style = "padding: 2px 10px" | $\dfrac m n$
 * align="right" style = "padding: 2px 10px" | $1 = 1^2$
 * align="right" style = "padding: 2px 10px" | $1$
 * align="right" style = "padding: 2px 10px" | $2 = 2 \times 1^2 - 1$
 * align="right" style = "padding: 2px 10px" | $\dfrac {2 \times \paren {2 - 1} } 2$
 * align="right" style = "padding: 2px 10px" | $1 = 1 \times 1$
 * align="right" style = "padding: 2px 10px" | $1$
 * align="right" style = "padding: 2px 10px" | $36 = 6^2$
 * align="right" style = "padding: 2px 10px" | $3$
 * align="right" style = "padding: 2px 10px" | $9 = 2 \times 2^2 + 1$
 * align="right" style = "padding: 2px 10px" | $\dfrac {8 \paren {8 + 1} } 2$
 * align="right" style = "padding: 2px 10px" | $6 = 3 \times 2$
 * align="right" style = "padding: 2px 10px" | $1 \cdotp 5$
 * align="right" style = "padding: 2px 10px" | $1225 = 35^2$
 * align="right" style = "padding: 2px 10px" | $7$
 * align="right" style = "padding: 2px 10px" | $49 = 2 \times 5^2 - 1$
 * align="right" style = "padding: 2px 10px" | $\dfrac {50 \paren {50 - 1} } 2$
 * align="right" style = "padding: 2px 10px" | $35 = 7 \times 5$
 * align="right" style = "padding: 2px 10px" | $1 \cdotp 4$
 * align="right" style = "padding: 2px 10px" | $41 \, 616 = 204^2$
 * align="right" style = "padding: 2px 10px" | $17$
 * align="right" style = "padding: 2px 10px" | $289 = 2 \times 12^2 + 1$
 * align="right" style = "padding: 2px 10px" | $\dfrac {288 \paren {288 + 1} } 2$
 * align="right" style = "padding: 2px 10px" | $204 = 17 \times 12$
 * align="right" style = "padding: 2px 10px" | $1 \cdotp 41 \dot 6$
 * }
 * align="right" style = "padding: 2px 10px" | $\dfrac {288 \paren {288 + 1} } 2$
 * align="right" style = "padding: 2px 10px" | $204 = 17 \times 12$
 * align="right" style = "padding: 2px 10px" | $1 \cdotp 41 \dot 6$
 * }