-418

Appears in sequences

• Expansion of Product_{k>=1} (1 - x^k)^12.at n=6A000735
• Expansion of (eta(q) * eta(q^9))^12 in powers of q.at n=6A034436
• Inverse of number triangle binomial(3n-k,n-k).at n=51A119302
• Expansion of 1/((1-x)sqrt(1-2x+5x^2)).at n=9A128058
• Expansion of (1-2x-3x^2+x^3-x^5)/(1+4x^3+x^6).at n=13A157126
• Expansion of exp( Sum_{n>=1} -3*sigma(2n)*x^n/n ) in powers of x.at n=30A185653
• Coefficients of modular function denoted G_5(tau) by Atkin.at n=6A186210
• Expansion of f(x)^12 in powers of x where f() is a Ramanujan theta function.at n=6A209676
• Expansion of q * f(-q^2)^12 + 8 * q^2 * f(-q^4)^12 in powers of q where f() is a Ramanujan theta function.at n=12A227239
• G.f. A(x,y) satisfies: A(x,y) = x*y + 1/A(x,x*y), with A(0,y) = 1.at n=201A275760
• Expansion of exp( Sum_{n>=1} -sigma(6*n)*x^n/n ) in powers of x.at n=6A283164
• G.f.: Sum_{n>=1} Sum_{k=0..n} binomial(n,k) * x^(k^2) * (x^n - x^k)^(n-k), ignoring the constant term.at n=37A292808
• a(n) = (1/720)*n*(n - 10)*(n - 1)*(n^3 - 34*n^2 + 181*n - 144).at n=12A319932
• a(n) = Sum_{d|n} mu(d) * binomial(d + n/d - 2, d-1).at n=34A338656
• Fourier coefficients of the modular form (1/t_{6a}) * sqrt( 1-12*sqrt(-3)/t_{6a} ) * F_{6a}^6.at n=6A341563
• G.f. A(x) satisfies: A(x) = 1 + x - x^2 * A(x/(1 - x)) / (1 - x).at n=10A346078
• Expansion of e.g.f. 1/(1 - Sum_{k>=1} mu(k) * x^k / k), where mu() is the Moebius function (A008683).at n=6A353191
• Partial alternating sums of the Dedekind psi function (A001615): a(n) = Sum_{k=1..n} (-1)^(k+1) * psi(k).at n=49A357817
• a(n) = Sum_{k=0..n} Stirling1(n,k) * Stirling2(n,k) * (k!)^2.at n=4A382794