Euler's partition theorem and the combinatorics of -sequences
Euler's partition theorem and the combinatorics of -sequences
Euler's partition theorem and the combinatorics of -sequences
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Binary numeration system<br />
1 0 1 1 0 → 1 ∗ 2 4 + 0 ∗ 2 3 + 1 ∗ 2 2 + 1 ∗ 2 1 + 0 ∗ 2 0 = 22<br />
Ternary numeration system<br />
(unique representation)<br />
1 0 2 1 1 → 1 ∗ 3 4 + 0 ∗ 3 3 + 2 ∗ 3 2 + 1 ∗ 3 1 + 1 ∗ 3 0 = 138<br />
A Fraenkel numeration system: ternary, but ...<br />
(unique representation)<br />
1 0 2 1 1 → 1 ∗ 55 + 0 ∗ 21 + 2 ∗ 8 + 1 ∗ 3 + 1 ∗ 1 = 75