Let fn denote the number of binary strings that do not contain "000”. So f3 = 7 and fr = 81. Which of these equations do
Posted: Thu Feb 17, 2022 11:01 am
Let fn denote the number of binary strings that do not contain "000”. So f3 = 7 and fr = 81. Which of these equations does fn satisfy? For each, either give a combinatorial proof that both sides are equal, or find values of fn that do not satisfy the equation. = (a) fn+1 = 2fn – fn-3 (b) fn+1 = fn + fn-1 + fn-2 (c) fn+1 = 2n+1 - (n − 1)2n-2 + – = = -