Reputation
11,021
Top tag
Next privilege 15,000 Rep.
Protect questions
Badges
2 24 54
Newest
 Good Answer
Impact
~293k people reached

Aug
19
comment Bingo probability of a tie with 20 players
It seems very unlikely to get an answer by explicitly counting, but straightforward programming to get an answer by simulation.
Aug
9
awarded  Good Answer
Jul
29
comment Prime Numbers and a Two-Player Game
$L$ is given by oeis.org/A025043 .
Jul
22
comment asymptotics of Involutions recurrence relation
Looks like you read that section of Knuth more carefully than me. I stand corrected.
Jul
22
comment asymptotics of Involutions recurrence relation
The coefficient 7/24 is given in the reference of Knuth cited by Wimp and Zeilberger (section 5.1.4 in volume 3), but the computations are quite involved.
Jul
22
revised asymptotics of Involutions recurrence relation
[Edit removed during grace period]
Jul
21
awarded  Yearling
Jul
13
comment “Binomiable” numbers
A list of these numbers is at oeis.org/A006987 - there doesn't seem to be much there. In particular, if there were a nice criterion I'd expect it to be listed there. But it's a fun problem - keep playing around with it!
Jul
6
comment Is there something special about 2015?
I would vote this up but it currently has 77 upvotes.
Jul
6
comment Find the parameter $m$ such that the number always be perfect square.
This solution implicitly uses the fact that $x^2 + a$ is square for all integers $x$ and only if $a = 0$. This needs a proof, although it's easy: $a^2 + a$ is not square because it's between the consecutive squares $a^2$ and $(a+1)^2$. (Note this holds even if $a$ is negative.)
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 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
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.