[2014] combining some recent ideas. tommy1729 Ultimate Fellow Posts: 1,906 Threads: 409 Joined: Feb 2009 08/19/2014, 12:25 PM (This post was last modified: 08/19/2014, 12:26 PM by tommy1729.) Due to the succes of the classic equation f(x) = f(x-1) + f(x-2) and the recently discussed f(x) = f(x-1) + f(x/2) , I am in the mood to consider the generalization f(x) = f(x-1) + f( exp^[k]( ln^[k](x) - ln[k](2) ) ) In particular f(x) = f(x-1) + f( exp^[0.5]( ln^[0.5](x) - ln[0.5](2) ) ) and of course the similar ones ( 2sinh etc ). Does f grow like exp^[0.5] ?? Maybe change the base to the golden mean ? regards tommy1729 « Next Oldest | Next Newest »

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