-846
domain: Z
Appears in sequences
- Logarithmic numbers.at n=5A002747
- Expansion of e.g.f.: sinh(x)/(1+x).at n=6A009628
- G.f.: eta(x)^3*(1 + x*eta'(x)/eta(x)), where eta(x) is Dedekind's eta(q) function without the q^(1/24) factor.at n=91A184363
- Triangle read by rows: T(n,k) = logarithmic polynomial A_k^(n)(x) evaluated at x=1.at n=22A260324
- Expansion of f(-x, -x) * f(-x^3, -x^15) / f(-x^6, -x^12)^2 in powers of x where f(,) is Ramanujan's general theta function.at n=57A261251
- Expansion of f(-x^3) * f(-x^6) / (f(x) * f(-x^4)) in powers of x where f() is a Ramanujan theta function.at n=19A261252
- G.f.: Re((i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).at n=56A292042
- Expansion of phi(-x^9) * f(-x^3)^2 / f(-x^2)^3 in powers of x where f(), phi() are Ramanujan theta functions.at n=17A298733
- Expansion of Product_{k>0} 1/theta_3(q^(2*k-1)), where theta_3() is the Jacobi theta function.at n=11A320098
- Expansion of Product_{i>0, j>0, k>0} (1 - x^(i^2 + j^2 + k^2)).at n=59A321432
- Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} (-k)^j * binomial(n,j)^k.at n=47A336201
- a(n) is the smallest error in trying to solve n^5 = x^5 + y^5: for each n from 2 on, find positive integers x and y, x <= y < n such that |n^5 - x^5 - y^5| is minimal and let a(n) = n^5 - x^5 - y^5. In case of a tie, choose the solution with smallest y.at n=6A369855