Search results

Posted this in the Extracurricular Secondary Maths thread, only to realise it was Secondary Maths :p. Re-posting here: Define X(n) & Y(n) in the following manner: X(1) = Y(1) = 1, otherwise: X(n) = 2X(n-1) if n is Even = 2X(n-1) - 1 if n is Odd Y(n) = 2Y(n-1) + 1 if n is Even = 2Y(n-1)...

Define X(n) & Y(n) in the following manner: X(1) = Y(1) = 1, otherwise: X(n) = 2X(n-1) if n is Even = 2X(n-1) - 1 if n is Odd Y(n) = 2Y(n-1) + 1 if n is Even = 2Y(n-1) if n is Odd Examples: X(n) | 1 | 2 | 3 | 6 | 11 | 22 | 43 | 86 | ...