Which is the only US president not to use the word you in his inaugural address?

There are actually 5, each was sworn in after the sitting president died or resigned:

1) John Tyler 1841-1845 - after William Henry Harrison died

2) Millard Filmore 1850-1853 - after Zachary Taylor died of Gastroenteritis

3) Andrew Johnson 1865-1869 - after Lincoln was assassinated

4) Chester A. Arthur 1881-1885 - after Garfield was assassinated

5) Gerald Ford 1974-1977 - was Speaker of the House, became VP after VP Spiro Agnew resigned, then President after President Nixon resigned