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Problem: Interpolating Numbers With a Polynomial

Find a polynomial $f(x)$ of lowest degree with the property that $$\begin{array}{rr} x&f(x)\\ \hline 0&0\\ 1&15\\ 2&80\\ 3&255\\ 4&624\\ 5&1295\\ 6&2400\\ 7&4095\\ \end{array}$$

Table of Contents

Solutions: 1

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References

Bibliography

  1. Miller, Kenneth S.: "An Introduction to the Calculus of Finite Differences And Difference Equations", Dover Publications, Inc, 1960