-840
domain: Z
Appears in sequences
- Expansion of bracket function.at n=10A001659
- Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=23A007332
- E.g.f.: cosh(log(x+1)-arctan(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-840/7!*x^7...at n=7A013255
- Expansion of e.g.f.: sec(log(x+1)-arctan(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-840/7!*x^7...at n=7A013256
- Expansion of e.g.f.: exp(sin(x)-tanh(x))=1+1/3!*x^3-15/5!*x^5+10/6!*x^6+271/7!*x^7...at n=8A013379
- cosh(sin(x)-tanh(x))=1+10/6!*x^6-840/8!*x^8+60870/10!*x^10...at n=4A013385
- sec(sin(x)-tanh(x))=1+10/6!*x^6-840/8!*x^8+60870/10!*x^10...at n=4A013386
- cos(arcsin(x)-arctanh(x))=1-10/6!*x^6-840/8!*x^8-87750/10!*x^10...at n=4A013434
- sech(arcsin(x)-arctanh(x))=1-10/6!*x^6-840/8!*x^8-87750/10!*x^10...at n=4A013438
- Expansion of e.g.f. exp(arctan(x)-arcsinh(x)) = 1-1/3!*x^3+15/5!*x^5+10/6!*x^6-495/7!*x^7...at n=8A013461
- Dirichlet inverse of the Jordan function J_2 (A007434).at n=28A046970
- Matrix inverse of A048804.at n=59A048805
- Low-temperature magnetization expansion for Kagome net (Potts model, q=3).at n=11A057398
- Coefficient triangle of generalized Laguerre polynomials n!*L(n,3,x) (rising powers of x).at n=11A062137
- Triangular table of coefficients of the Hermite polynomials, divided by 2^floor(n/2).at n=38A067613
- a(n) = A023194 - A062700(n). Negative values of A071166(m) = m-A006530(A000203(m)) differences. In these cases m is square number from A023194.at n=33A071167
- a(n) is the coefficient of x^n in x/(1 + Sum_{k>=1} (1/2)*(prime(k+1) - 1)*x^k).at n=35A074142
- Sum_{d divides n} d^2*(-1)^bigomega(d), where bigomega(n) = A001222(n).at n=28A076792
- Expansion of (1-x)/(1+x+2*x^2+x^3).at n=23A078051
- Signed variant of A077012.at n=22A078921