-50
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=34A000036
- Expansion of Product_{n>=1} (1-x^n)^5.at n=22A000728
- Expansion of Product_{n>=1} (1-x^n)^5.at n=31A000728
- Expansion of Product_{n>=1} (1-x^n)^5.at n=18A000728
- The negative integers.at n=49A001478
- a(n) = -n.at n=50A001489
- Glaisher's chi numbers chi(p) for p a prime of the form 4m+1.at n=56A002172
- Glaisher's chi numbers chi(p) for p a prime of the form 4m+1.at n=68A002172
- Coefficients of the '2nd-order' mock theta function mu(q).at n=29A006306
- 1 + Sum_{n>=1} a_n x^n = Product_{n>=1} (1-x^n)^prime(n).at n=10A007441
- Triangle read by rows of Stirling numbers of first kind, s(n,k), n >= 1, 1 <= k <= n.at n=11A008275
- Triangle of Stirling numbers of first kind, s(n, n-k+1), n >= 1, 1 <= k <= n. Also triangle T(n,k) giving coefficients in expansion of n!*binomial(x,n)/x in powers of x.at n=13A008276
- Expansion of e.g.f.: x*cos(log(1+x)).at n=5A009024
- Expansion of e.g.f. log(1+sin(x)/exp(x)).at n=4A009343
- Expansion of e.g.f.: sin(tan(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...at n=5A012352
- Expansion of e.g.f. arcsin(tan(x) * log(x+1)).at n=5A012353
- Expansion of e.g.f. tan(tan(x) * log(x+1)).at n=5A012354
- Expansion of e.g.f. sinh(tan(x) * log(x+1)).at n=5A012355
- Arcsinh(tan(x)*log(x+1)) = 2/2!*x^2 - 3/3!*x^3 + 16/4!*x^4 - 50/5!*x^5 +...at n=5A012356
- Expansion of e.g.f. tanh(tan(x) * log(x+1)).at n=5A012357