For questions about recurrence relations, convergence tests, and identifying sequences. For questions on finite sums use the (summation) instead.

learn more… | top users | synonyms (5)

0
votes
1answer
98 views
+50

all but one sub-strings within a cyclic string

over $GF(q)$ where $q\in\mathbb{N}$, we build a string of size $q^n-1$. now, how can I show that it is always possible to construct that string so it contains all sub-strings of size $n$ exactly once, ...
0
votes
1answer
93 views
+50

It is possible to get a closed-form for $\int_0^1\frac{(1-x)^{n+2k-2}}{(1+x)^{2k-1}}dx$?

It is know that $$H_n=-n\int_0^1(1-t)^{n-1}\log (t)dt,$$ see [1], where $H_n=1+1/2+\ldots+1/n$ it the nth harmonic number. Then I believe that can be used for $x>0$ ...