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Apr 30, 2015 at 16:17 comment added Brian Hopkins Just addressing your question about history and notation, Andrews uses $\{f_i\}_{i=1}^\infty$ for the partition $\{1^{f_1} 2^{f_2} 3^{f_3} \cdots \}$ of $\sum f_i \cdot i$ in The Theory of Partitions (especially chapter 8). I don't believe he names it, but I've seen this called the frequency representation (which is compatible with his selection of $f$). Your object seems to be a sorted version of this with zeros removed.
Apr 27, 2015 at 22:19 vote accept Benjamin Steinberg
Apr 25, 2015 at 13:16 history edited Max Alekseyev CC BY-SA 3.0
minor correction
Apr 24, 2015 at 18:52 history edited Max Alekseyev CC BY-SA 3.0
minor correction
Apr 24, 2015 at 16:37 history edited Max Alekseyev CC BY-SA 3.0
minor
Apr 24, 2015 at 16:35 comment added Benjamin Steinberg It will take me a moment to digest this. Thanks for the answer.
Apr 24, 2015 at 16:29 history answered Max Alekseyev CC BY-SA 3.0