Consecutive Odd Numbers!!!

I'm the this guy of math.

The velvet

I had a dream about math, and I discovered a math thing.

If

• a is an integer
• a + 1 = b

Then

• b² - a² = a + b
  

Integer 0 1 2 3 4 5 6 7 8 9 10

Square 0 1 4 9 16 25 36 49 64 81 100

Difference 1 3 5 7 9 11 13 15 17 19

I'm sure that I'm not the first person to think of this, but I'm proud of having dreamed it up, and I put it on the same level as Duane Allman's dreaming that Jimi Hendrix played "Little Martha" for him.