-290

Appears in sequences

• Expansion of e.g.f.: sin(log(1+sin(x))).at n=7A009450
• sin(arcsinh(x)*exp(x)) = x+2/2!*x^2+1/3!*x^3-12/4!*x^4-75/5!*x^5...at n=5A012585
• 8th differences of primes.at n=48A036269
• Column 2 of Inverse partition triangle A038498.at n=61A039801
• Dirichlet inverse of sigma_2 function (A001157).at n=16A053822
• A sequence related to Ramanujan's tau function.at n=9A055978
• Generalized sum of divisors function: third diagonal of A060184.at n=50A060186
• a(n) = + 1 - 2 - 3 + 4 + 5 + 6 - 7 - 8 - 9 - 10 + 11 + 12 + 13 + 14 + 15 - ... + (+-1)*n, where there is one plus, two minuses, three pluses, etc. (see A002024).at n=54A064520
• Large-q series expansion for exponential of bulk free energy of the square-lattice zero-temperature Potts antiferromagnet, divided by (q-1)^2/q, in terms of the variable z = 1/(q - 1).at n=17A090673
• Expansion of q^(-1) * f(-q^2, -q^5)^2 * f(-q^3, -q^4) / f(-q^1, -q^6)^3 in powers of q where f() is Ramanujan's two-variable theta function.at n=35A108481
• G.f.: (x - 1)/(x^5 - x^3 - x^2 - x - 1).at n=40A115412
• Cube of the Steinbach matrix as a characteristic polynomial triangular array.at n=64A122185
• Expansion of a parametrization of Ramanujan's continued fraction.at n=61A124242
• a(n) = a(n-1) - 4*a(n-2), a(0)=1, a(1)=2.at n=8A133631
• Expansion of ((phi(q) * phi(-q^2)^2)^2 - 1) / 4 in powers of q where phi() is a Ramanujan theta function.at n=33A138505
• G.f.: limit of the ratio of the g.f.s of adjacent rows in triangle A152800.at n=22A152803
• Fluctuations of the number of cubefree integers not exceeding 10^n.at n=21A160114
• A symmetrical triangular sequence:t(n,m)=2*Eulerian[n, m - 1] - (Binomial[n - 1, m - 1]*Binomial[n, m - 1]/m)^2.at n=29A174160
• A symmetrical triangular sequence:t(n,m)=2*Eulerian[n, m - 1] - (Binomial[n - 1, m - 1]*Binomial[n, m - 1]/m)^2.at n=34A174160
• Square array A(n,k), n>=0, k>=0, read by antidiagonals: A(n,k) is the n-th term of the k-th differences of partition numbers A000041.at n=67A175804