On this day in 1837, Africans and Native Americans who had formed Florida's Seminole Nation decisively defeated an invading U.S. force more than twice their size, led by slaveowner and future U.S. president Zachary Taylor.
Since the founding of the U.S., escaped African slaves had settled in modern-day Florida. At the same time, Seminoles suffering under Creek rule in Alabama and Georgia were fleeing south to seek independence. There, the two groups formed an alliance, sharing cultivation techniques and putting up armed resistance against colonization and slaver forces.
The U.S. repeatedly invaded territory controlled by this alliance, and, on Christmas Day in 1837, 380 to 480 Seminole fighters gathered on the northeast corner of Florida's Lake Okeechobee ready to halt the armies of Colonel Zachary Taylor, a Louisiana slaveholder and future U.S. president.
Seminole riflemen waited for the soldiers in trees, firing on them from above. The battle was a decisive defeat for U.S. forces, however Taylor falsely claimed a victory when returning to Fort Gardner.
Dec. 26, 1835: Second Seminole War, Largest Uprising of the Enslaved 
Christmas day freedom fighters: hidden history of the Seminole anticolonial struggle - William Katz 
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uhhh I think I kinda get what you mean but maybe not exactly?
It's late so I don't have the ability to think about it too much lol
I don't think it works for like 13*17?
one thing to note is that like for a lot of numbers the sum of digits is the same as the remainder of dividing by 9 (and in any case the remainder of the sum of digits = the remainder of the original number) and all the numbers you mentioned have 9 as a divisor in any product between them which probably contributes to any pattern? see also: Casting out nines
little confused by the wording
if what you're saying is "3, 6, 9, and 12 are all multiples of 3, why should this be" then I think this is a relatively trivial case of like:
a two-digit number is 10x + y (e.g. for your case, x = 1 and y = 2)
then doing x + y gives some number, c
there's a correspondence between those facts that doesn't change whatever coefficient is out in front, because you can always express it as: (10x + y)n : (x+y)n = c*n
so if you multiply by 2, you get 2*(10x + y), and so (x + y)2 = c2, then that equals 2c, and so on for 3, 4, 5, etc
I think I'm confused. When are you multiplying two-digit numbers in your example?