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Mathematical Topics Index Page Associated Calculator Programs Jim Cullen
Introduction
Over the years I've accumulated many pages of mathematical notes, problems, solutions, computer programs, calculator functions, etc. As time permits (and time is not so permitting lately) I will work to post more pages so that they may be more useful to someone than they would be stashed away in a drawer somewhere.
Just about anyone who knows me would be able to tell you that I have a 'thing' for π and for the Fibonacci Numbers. Now I have a formula that approximately connects the value of π to the value of the "Golden Ratio" φ. The value of φ may be calculated as (1+√5)/2. The approximation I've found in a computer search is accurate to twelve significant digits:
Probably my most important mathematical discovery to date is that of a Ramanujan-like series formula for 1/π4, the first of its kind, discovered using PSLQ integer relations software in a high-speed script I wrote for the Pari GP software package.
