doc_starz Posted June 15, 2010 Report Share Posted June 15, 2010 Im working on a problem (hopefully a simple one), my guess is there is an obvious, algebraic solution that I'm unaware of and I'm hoping you might shed some light on this? Essentially, I intend to build a sieve for figurate numbers, I'll code this in a programming language such as C or VB or something. What I would like to be able to do is to enter any real number and have my algorithm, routine check the number to see what figurate number it comes closest too. Note that the following link, has a table of some of the more common formulas to derive a figurate number series in forward expanding exponential series (gnomonic growth) ; Figurate Number -- from Wolfram MathWorld (Table copied and pasted below for your reference) However, what I need to do, Im guessing, is to re-write these formula so that they process backwards, taking a large number and scailing it down. For example ; If using the triangular figurate formula n(n+1) /2 39 (39+1) / 2 = 780 However, I want to reverse this process so that I enter 780 and I get 39 I'd like to be able to reverse ALL of the formula shown below, each and every statementthe end goal is that I will have developed for myself a small software program that accepts any real number and then checks that numberagainst all these formula to see which ones it matches or comes very close to, I realzie this sounds odd, but I'd like to be able to even enter irrationals and remainders, non-whole numbers are 'ok', i.e. a number may be close to a triangular number, i.e. say I have 783, then the app returns that it is close to a triangular number 780 with remainder 3 What Im hoping to ask of you, is are you aware of any onlne source where these reversed formula have already been compiled and are available? If not, thoughts on whether this can be done, and if so, any tips? If you feel inclined to take a crack at re-writing the tetrahedral, triangular, and pentagonal formula, I'd love to review your approach - and hope to be ebale to re-write all of these. Much thanks and sincere regards to you! Quote Link to comment Share on other sites More sharing options...
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