You know the song. "And a Partridge in a Pear tree." What patterns of numbers can we find here?

The first partridge. 
If you look at the total gifts each day, what sequence of numbers is this?

Four Calling Birds, calling out numbers ... 
How many different ways are there to find the total number of gifts given over the twelve days?
Here's one way:
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Yep. Triangle numbers that make that tree.
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