-85
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=50A000036
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^5 in powers of x.at n=48A001483
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^5 in powers of x.at n=16A001483
- a(n) = -a(n-1) - 2*a(n-2).at n=18A001607
- A sixth-order linear divisibility sequence: a(n+6) = -3*a(n+5) - 5*a(n+4) - 5*a(n+3) - 5*a(n+2) - 3*a(n+1) - a(n).at n=18A005120
- Coefficient of x^n in (Product_{m=1..n}(1-x^m))^n.at n=9A008705
- E.g.f. exp(log(1+x)/exp(x)).at n=5A009198
- Expansion of log(1+sinh(x))*exp(x).at n=6A009353
- Partition function coefficients for square lattice spin 1 Ising model.at n=14A010107
- Expansion of Product_{k>=1} (1 - x^k)^9.at n=9A010817
- cos(arctanh(x)*cos(x))=1-1/2!*x^2+5/4!*x^4-85/6!*x^6-887/8!*x^8...at n=3A012743
- sech(sec(x)*arcsin(x))=1-1/2!*x^2-11/4!*x^4-85/6!*x^6+4457/8!*x^8...at n=3A012794
- Triangle of Gaussian (or q-binomial) coefficients for q = -2.at n=43A015109
- Triangle of Gaussian (or q-binomial) coefficients for q = -2.at n=37A015109
- Gaussian binomial coefficient [ n,7 ] for q = -2.at n=1A015338
- McKay-Thompson series of class 16B for the Monster group.at n=26A029839
- Expansion of Product_{k > 0} 1/(1 + x^prime(k)).at n=51A048165
- Revert transform of x*(1 + 2*x)/(1 + 3*x + x^2).at n=12A049122
- Matrix inverse of triangle A055340(n+1,k).at n=30A055347
- a(n) = n^2 - primefloor(n)*primeceiling(n).at n=42A056139