I know for words starting with the letter 'h' the usage of "A" vs. "An" depends on how its pronounced.
A - Before a word starting with a pronounced, breathy “h,” use “a.” Examples: A hotel; A happy time; A historical day; A healthy, happy baby.
An - Use “an” with words beginning with an unpronounced “h.” Examples: An herb garden; an hour; an honor; An heir.
http://editingandwritingservices.com/a-or-an-before-words-beginning-with-h/
But what about when your word is just the character 'h' such as in the sentence:
This word starts with a/an 'h'
"An" seems to fit better when I say it, and I suppose it fits the definition of not starting with a breathy "h" sound. But also its not an unpronounced 'h' because that's literally all you're pronouncing.
Which is correct?