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1d
revised Formula for $\sum_{k=0}^n k^d {n \choose 2k}$
spell me
1d
comment number of distinct necklaces made with n beads and m colors
This link at MSE Meta has a list of necklace / bracelet computations by various users including cookbook type posts that walk you through the steps (scroll down to "necklaces and bracelets").
1d
answered Formula for $\sum_{k=0}^n k^d {n \choose 2k}$
1d
answered Distribution of K balls in N Cells with limitations
2d
comment Binomial Sum Related to Fibonacci: $\sum\binom{n-i}j\binom{n-j}i=F_{2n+1}$
I do think the variety on this page (content and contributors) is remarkable.
2d
answered Binomial Sum Related to Fibonacci: $\sum\binom{n-i}j\binom{n-j}i=F_{2n+1}$
2d
comment Evaluate $\sum_{k = 0}^{n} {n\choose k} k^m$
This sum was discussed at this MSE link.
Jul
1
answered Find the sum of the series.
Jul
1
answered How prove this $\sum_{k=0}^n \binom{n}{k} \binom{(p-1)n}{k} \binom{pn+k}{k} = \binom{pn}{n}^2 $
Jul
1
answered Proof sought for a sum involving binomials that simplifies to 1/2
Jul
1
revised Closed-form expression for $\sum_{k=0}^n\binom{n}kk^p$ for integers $n,\,p$
minor fix
Jul
1
answered Proof of the identity $\sum_{k=0}^{\min[p,q]}{p\choose k}{q\choose k}{n+k\choose p+q}={n\choose p}{n\choose q}$
Jun
30
answered Calculating a recursive power term binomial sum
Jun
30
answered Closed-form expression for $\sum_{k=0}^n\binom{n}kk^p$ for integers $n,\,p$
Jun
30
answered Proving the combinatorial identity: $\sum_{k=0}^m (-1)^k 2^{2k-1}\left[{m+k-1\choose 2k}+{m+k\choose 2k}\right]=(-1)^m$
Jun
30
revised Binomial coefficients in Geometric summation
linkage
Jun
30
answered A sum with binomial coefficients
Jun
30
comment Counting square free numbers co-prime to $m$
I just noticed that Wikipedia has a page on square-free numbers where the above calculation can be found. They also mention some of the ramifications of the fluctuations around the asymptotic that I presented above, which you may want to consult first. The formula you include does not represent real gain as it merely encodes the problem definition.
Jun
29
revised Binomial coefficients in Geometric summation
foemat
Jun
29
revised Counting square free numbers co-prime to $m$
format