Prince Frederik and Sophie were married on 21 Oct 1774.
I have copied this list of their offspring from the site of Leo van de Pas:
1. Princess NN of Denmark, b. 19 Sep 1781, Castle Frederiksborg, Seeland
2. Princess NN of Denmark, b. 17 Feb 1783, Copenhagen
3. Princess Juliane Marie of Denmark, b. 2 May 1784, Copenhagen
4. Christian VIII, King of Denmark 1839-1848 and Norway 1815, b. 18 Sep 1786, Christiansborg
5. Princess Juliane Sophie of Denmark, b. 18 Feb 1788, Copenhagen
6. Princess Louise Charlotte of Denmark, b. 30 Oct 1789, Castle Christiansborg
7. Prince Fredrik Ferdinand of Denmark, b. 22 Nov 1792, Copenhagen
Do Danish historians consider all of Sophie's pregnancies to be the result of an affair with Count Frederik Von Blücher?
Did Prince Frederik have any other, illegitimate, children?