-40
domain: Z
Appears in sequences
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); A000099 gives values of n where |P(n)| sets a new record; sequence gives closest integer to P(A000099(n)).at n=30A000036
- Expansion of Product_{k >= 1} (1 - x^k)^4.at n=79A000727
- Expansion of Product_{n>=1} (1-x^n)^5.at n=38A000728
- The negative integers.at n=39A001478
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^4 in powers of x.at n=32A001482
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^4 in powers of x.at n=39A001482
- a(n) = -n.at n=40A001489
- Expansion of k/(4*q^(1/2)) in powers of q, where k defined by sqrt(k) = theta_2(0, q)/theta_3(0, q).at n=3A001938
- Generalized sum of divisors function: excess of sum of odd divisors of n over sum of even divisors of n.at n=53A002129
- Generalized sum of divisors function: excess of sum of odd divisors of n over sum of even divisors of n.at n=27A002129
- Expansion of (1-4*x)^(5/2).at n=7A002422
- Coefficients of a Dirichlet series.at n=40A002558
- Power series expansion of the Rogers-Ramanujan continued fraction 1+x/(1+x^2/(1+x^3/(1+x^4/(1+...)))).at n=57A003823
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-20).at n=1A004421
- Reversion of Jacobi theta_3.at n=3A006195
- Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=7A007332
- a(n) = n! - n^3.at n=4A007339
- Triangle T(n,k) of arctangent numbers: expansion of arctan(x)^n/n!.at n=10A008309
- Triangle of coefficients of Chebyshev polynomials U_n(x).at n=21A008312
- Expansion of cos(log(1+x)*cos(x)).at n=6A009028