User blog:Katakana133/2 Notations that actually make sense now.

Okay, so that last one... In April... Yeah that wasn't very good. Today? I'll be making a notation and a slightly stronger notation. What are the two notations? These are versions of a similar set of rules for an array notation. Here are the basic rules for two series: The first one is one you may know: The Fibonacci sequence. The rule? F(0) = 1 and F(1) = 1. Iff n >= 2, F(n) = F(n-1) + F(n-2). This gives rise to the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...

Now, a different sequence! This one is simpler: S(0) = 0 and S(1) = 1. Iff n >= 2, S(n) = S(n-1) + n, otherwise known as the simple S(n) = 1 + 2 + 3 + 4... + (n - 1) + n. This gives rise to: 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78... THE ARRAY NOTATION WILL BE ADDED IMMEDIATELY AFTER I SHARE THIS