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Personalized Polynomials

A Personalized Polynomial is a polynomial whose values f(0), f(1), f(2), and so on, is the index of the letters in your names. For example, in the word STEPHEN,
  • f(0)=19 where S is the 19th letter in the alphabet
  • f(1)=20 where T is the 20th letter in the alphabet
  • f(2)=5 where E is the 5th letter in the alphabet
  • and so on up to
  • f(6)=14 where N is the 14th letter in the alphabet
Type your name in the INPUT BOX. You may need to resize the axes or scroll to zoom in or out.
Thanks to James Tanton for this idea.