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Jun
22
comment Generating function solution to previous question $a_{n}=a_{\lfloor n/2\rfloor}+a_{\lfloor n/3 \rfloor}+a_{\lfloor n/6\rfloor}$
OEIS reference: oeis.org/A007731
Jun
10
reviewed Leave Open Group actions of the infinite dihedral group.
Jun
10
reviewed Leave Open Reading list to master Numerical Analysis' research literature
Jun
10
reviewed Leave Open 100 meters head start for the turtle, would the rabbit…
Jun
10
reviewed Close Limit of an increasing function
Jun
10
reviewed Leave Open Equilibrium in difference equations
Jun
9
answered Solving recurrence similar to Catalan number recurrence
Jun
5
comment Is there a closed form for $\sum_{n=0}^{+\infty} \frac{1}{\sqrt {n!}}$?
It seems quite unlikely. See mathforum.org/kb/message.jspa?messageID=5628902 or wilmott.com/messageview.cfm?catid=34&threadid=44616 (which can be found by computing the sum numerically and googling the resulting value).
Jun
3
answered Name of the highest power of 2 smaller than or equal to a given number
May
18
comment Does the infinite sum of $\sin(\frac{1}{n}+n\pi)$ converge or diverge?
Hint: how does $\sin(1/n+n\pi)$ relate to $\sin (1/n)$?
May
14
comment Prove that using generating function:For any $n ,k\in N$, the number of partitions of $n$ into parts
If you're being asked this, I suspect you've seen the generating-function proof for the case $k = 1$ - that is, that the number of partitions into parts which appear at most 1 time ("partitions into distinct parts") is the same as the number of partitions into parts not divisible by 2 ("partitions into odd parts"). Can you generalize this proof?
May
11
comment Find a linear reccurrence relation where a(n) is the number of subsets of {1,2,3,…,n} not containing three consecutive numbers.
This is a duplicate of math.stackexchange.com/questions/86249/… , although that question wasn't answered so I recommend leaving this one open.
May
7
answered Let $a,b$ be relative integers such that $2a+3b$ is divisible by $11$. Prove that $a^2-5b^2$ is also divisible by $11$.
May
4
reviewed Close Famous Problems the Experts Could not Solve
May
4
reviewed Leave Open What is meant by a “$S$-strictly diagonally dominant matrix” in the book 'Geršgorin and His Circles'
May
4
reviewed Close A nice set of squares.
Apr
30
reviewed Close What are numbers?
Apr
30
reviewed Close Proof verification for proving $\forall n \ge 2, 1 + \frac1{2^2} + \frac1{3^2} + \cdots + \frac1{n^2} < 2 − \frac1n$ by induction
Apr
30
reviewed Leave Open Help with finding range and equation of a position vector (projectile)
Apr
29
reviewed Leave Open how to combine angle rotations along different axes into one rotation along a single vector