-414

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=25A001484
• Glaisher's function U(n).at n=4A002612
• Spontaneous magnetization coefficients for square lattice spin 3 Ising model.at n=64A010104
• Spontaneous magnetization coefficients for square lattice spin 5/2 Ising model.at n=52A010106
• Spontaneous magnetization coefficients for square lattice spin 5/2 Ising model.at n=52A030121
• Coefficients of (1 + 144*x)^(1/24).at n=2A106206
• Expansion of x^2*(-3+4*x)/(1-x^3+x^4).at n=39A110061
• G.f.: (x^3+6*x+2)^2/(x^2+x+1)^2.at n=45A115054
• G.f.: (x^3+6*x+2)^2/(x^2+x+1)^2.at n=47A115054
• The result of the integration Integral_{t=0..oo} -rho*exp(-rho*s*t)*t^j*s*log(1+t) dt can be written as (F(u,j)*exp(u)*Ei(1,u) + G(u,j))/u^j, where rho>0, s>0, and u=rho*s. Sequence is the regular triangle corresponding to G(u,j).at n=31A121922
• Triangle read by rows: coefficients of a Hermite-like set of recursive polynomials that appear by integration to be orthogonal using the substitution on the Hermite recursion of n->f(n) where f(n)=A000931[n] is the Padovan sequence.at n=48A137298
• A triangle of coefficients of polynomials with roots as the Pi-digits base ten A000796(n)=d(n):d(1)=3; p(x,n)=-d(1)*Product[x-d(m),{m,2,n}].at n=18A152575
• Expansion of b(-q) * b(q^2) in powers of q where b() is a cubic AGM theta function.at n=45A226139
• Expansion of phi(x)^2 * chi(x^2)^4 * f(-x)^2 in powers of x where phi(), chi(), f() are Ramanujan theta functions.at n=43A280339
• Coefficients in q-expansion of (9*E_2(q^3)-E_2(q))/8.at n=45A282031
• The arithmetic function uhat(n,1,8).at n=68A291502
• E.g.f.: exp(-x * exp(x)).at n=7A292952
• Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(0,k) = 1 and A(n,k) = - Sum_{i=0..n-1} binomial(n-1,i) * binomial(i+1,k) * A(n-1-i,k) for n > 0.at n=43A293015
• Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(0,k) = 1 and A(n,k) = - k! * Sum_{i=0..n-1} binomial(n-1,i) * binomial(i+1,k) * A(n-1-i,k) for n > 0.at n=43A293019
• Expansion of Product_{k>=1} 1/(1 + x^k)^(k-1).at n=32A319109