Difference Triangle for Sequence of Fifth Powers

Theorem

The difference triangle for the sequence of fifth powers ends on the fifth line with instances of $5!$, where $!$ denotes factorial.


Proof


This theorem requires a proof.
In particular: Needs some difference calculus results first.
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Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $24$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $24$
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