-100
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=58A000036
- Expansion of Product_{n>=1} (1-x^n)^5.at n=56A000728
- Expansion of Product_{n>=1} (1-x^n)^5.at n=45A000728
- Euler characteristic of mapping class group Gamma_n.at n=11A007888
- Expansion of 1/cos(log(1+x)).at n=5A009007
- Expansion of e.g.f. cos(sinh(x)*exp(x)).at n=5A009061
- Expansion of cosh(sinh(log(1+x))).at n=5A009151
- Expansion of exp(sinh(x)*log(1+x)).at n=5A009231
- Expansion of sin(log(1+x)^2).at n=5A009468
- E.g.f. sinh(log(1+x)^2).at n=5A009585
- Expansion of tan(log(1+x)^2).at n=5A009655
- Expansion of e.g.f.: tanh(log(1+x)^2).at n=5A009789
- Expansion of x/ (1-4*x+16*x^2)^(3/2).at n=4A012125
- Expansion of e.g.f. arcsin(log(x+1)^2).at n=5A012267
- Expansion of e.g.f.: arctan(log(x+1)*log(x+1)).at n=5A012269
- Expansion of e.g.f. arcsinh(log(x+1)*log(x+1)).at n=5A012271
- Expansion of e.g.f.: exp(arcsin(x)*log(x+1)).at n=5A012304
- Expansion of e.g.f.: cos(arcsin(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-27/4!*x^4-100/5!*x^5...at n=5A012320
- cos(log(x+1)-arcsin(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+525/7!*x^7...at n=6A013226
- Expansion of e.g.f.: sech(log(x+1)-arcsin(x)).at n=6A013233