-930

Appears in sequences

• Coefficients of modular function G_2(tau).at n=40A005760
• Numerator of (2*n+1)!*8*Bernoulli(2*n,1/2).at n=3A033473
• Second term in the continued fraction expansion of StieltjesGamma[n].at n=25A066034
• Consider the triangle in which the n-th row starts with n, contains n terms and the difference of successive terms is 1,2,3,... up to n-1. Sequence gives row sums.at n=19A081498
• G.f.: q^(2*n)* Product_{m=0..n-1} (1-q^(2*m+1))^2.at n=41A097198
• G.f. A(x) satisfies: A(x)^2 equals the g.f. of A110649, which consists entirely of numbers 1 through 12.at n=10A112574
• a(2*n) = A000217(n), a(2*n+1) = -2*A000217(n).at n=61A131259
• Expansion of q * f(-q^20) / (f(q) * chi(-q^5)) in powers of q where f(), chi() are Ramanujan theta functions.at n=23A145724
• 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=33A152575
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max{1+j mod i, 1+i mod j} (A204018).at n=21A204019
• O.g.f.: exp( Sum_{n>=1} -(sigma(2*n^2) - sigma(n^2)) * (-x)^n/n ).at n=18A215603
• a(n) is the nearest integer to 8*(2*n+1)! * Bernoulli(2*n,1/2).at n=3A238163
• a(n) = Li_{-n}(phi) + Li_{-n}(1-phi), where Li_n(x) is the polylogarithm, phi=(1+sqrt(5))/2 is the golden ratio.at n=4A263968
• Expansion of Product_{k>=1} ((1 - x^(2*k))/(1 - x^(2*k-1)))^k.at n=58A296046
• Expansion of e.g.f. arctanh(log(1 + x)).at n=6A296982
• Signed recurrence over binary strict trees: a(n) = 1 - Sum_{x + y = n, 0 < x < y < n} a(x) * a(y).at n=33A300866
• a(n) = 1*2*3 - 4*5*6 + 7*8*9 - 10*11*12 + 13*14*15 - ... + (up to n).at n=11A319543
• a(n) = 3*2*1 - 6*5*4 + 9*8*7 - 12*11*10 + 15*14*13 - 18*17*16 + ... - (up to the n-th term).at n=11A319886
• Expansion of Sum_{k>0} x^(3*k)/(1+x^k)^3.at n=49A363615
• Dirichlet inverse of A341529, where A341529(n) = sigma(n) * A003961(n), and A003961 is fully multiplicative with a(prime(i)) = prime(i+1).at n=28A378229