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Timeline for Sum over integer compositions

Current License: CC BY-SA 3.0

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Mar 7, 2014 at 8:23 comment added mathse Dear @Ricardo Andrade, thanks for your feedback. As you suggested, I added the references.
Mar 7, 2014 at 8:21 history edited mathse CC BY-SA 3.0
gave references, as requested
Mar 6, 2014 at 23:06 comment added Ricardo Andrade Dear @mathse, thank you. I think it would be helpful if you could add the content of your comment to your answer above.
Mar 6, 2014 at 22:39 comment added mathse Yes, of course. For example, the number $S(n,k)$ from above is precisely the number $d_{S,f}(n,k)$ defined in Eger (2013), Restricted weighted integer compositions and extended binomial coefficients (for $S=\{1,2,3,\ldots,\}$ and $f(a)=a^p$). This paper says that $S(n,k)$ is an extended binomial coefficient, and gives various representations of the extended binomial coefficients. Other relevant literature would be Fahssi (2012), The polynomial triangles revisited, and Shapcott (2013), C-color compositions and palindromes. More relevant literature can be found in the references of these works.
Mar 6, 2014 at 10:58 comment added Ricardo Andrade Dear @mathse, can you please add some details and/or references to your answer? That would probably be very helpful. Thank you.
S Mar 6, 2014 at 10:52 review Late answers
Mar 6, 2014 at 10:58
S Mar 6, 2014 at 10:52 review First posts
Mar 6, 2014 at 10:57
Mar 6, 2014 at 10:35 history answered mathse CC BY-SA 3.0