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Problem of the Week 843

Sums of powers of two

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How many ways can 90316 be written as

a + 2 b + 4 c + 8 d + 16 e + 32 f + ···
where the coefficients can be any of 0, 1, or 2?

Source: Sept/Oct 1997 Quantum

© Copyright 1997 Stan Wagon. Reproduced with permission.

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The Math Forum

2 October 1998