39902
domain: N
Appears in sequences
- Leading term of Stirling's approximation to n!, sqrt(2*Pi)*n^(n+(1/2))/e^n, rounded down.at n=8A005393
- Leading term of Stirling's approximation to n!, sqrt(2*Pi)*n^(n+(1/2))/e^n, rounded to nearest integer.at n=8A005394
- Number of permutations of 1..n with the sum of squared adjacent differences < n*(n-1)/2.at n=9A180069
- Number of nondecreasing arrangements of n+2 numbers in 0..4 with each number being the sum mod 5 of two others.at n=26A183907
- a(n) = floor(n^(3/2))*floor(3+n^(3/2))/2.at n=42A185593
- Expansion of psi(x^2) * phi(x^7) / (f(-x) * f(-x^7)) in powers of x where phi(), psi(), f() are Ramanujan theta functions.at n=33A193826
- Numbers m such that abs(K(m+1) - K(m)) = 2, and both m and m+1 are squarefree (A005117), where K(m) = A002034(m) is the Kempner function.at n=17A346212
- a(n) is the constant term in expansion of Product_{k=1..n} (x^prime(k) + 1/x^prime(k))^2.at n=11A350881