-22
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=19A000036
- Expansion of Product_{k >= 1} (1 - x^k)^4.at n=52A000727
- Expansion of Product_{k >= 1} (1 - x^k)^4.at n=38A000727
- Expansion of Product_{k >= 1} (1 - x^k)^4.at n=70A000727
- Expansion of Product_{k >= 1} (1 - x^k)^6.at n=15A000729
- Canonical enumeration of integers: interleaved positive and negative integers with zero prepended.at n=44A001057
- The negative integers.at n=21A001478
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^4 in powers of x.at n=52A001482
- a(n) = -n.at n=22A001489
- Coefficient of x^p (p = n-th prime) in x * Product_{k>=1} (1-x^k)^2*(1-x^11k)^2.at n=67A002070
- Glaisher's chi numbers. a(n) = chi(4*n + 1).at n=34A002171
- Glaisher's chi numbers chi(p) for p a prime of the form 4m+1.at n=14A002172
- Glaisher's chi numbers chi(p) for p a prime of the form 4m+1.at n=45A002172
- q-expansion of modular form of weight 13/2: eta(8 tau)^12 * theta(tau).at n=13A002284
- Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-11).at n=1A004412
- Coefficients of modular function G_2(tau).at n=11A005760
- Coefficients of modular function G_3(tau).at n=5A005761
- G.f.: Product_{k>0} (1-x^(5k-1))*(1-x^(5k-4))/((1-x^(5k-2))*(1-x^(5k-3))).at n=36A007325
- Expansion of cos(log(1+x)*cosh(x)).at n=4A009029
- Expansion of cos(log(1+x)/cos(x)).at n=4A009032