-666
domain: Z
Appears in sequences
- a(n) = (10^(n-1)-1) * (n-10) / 9.at n=4A091691
- Expansion of ( f(-q^2) * f(q^3) * f(-q^6) / f(q)^3 )^2 in powers of q where f() is a Ramanujan theta function.at n=5A164271
- a(0) = 1, a(1) = 2, a(3) = 3, a(n) = a(n-1) - a(n-3).at n=43A165192
- Logarithmic derivative of the q-exponential of x, E_q(x,q), evaluated at q=-x.at n=22A198262
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202670 based on A000290 (the squares); by antidiagonals.at n=21A202671
- Triangle T(n,k), n>=1, 0<=k<=A000041(n), read by rows: row n gives the coefficients of the chromatic polynomial of the ranked poset L(n) of partitions of n, highest powers first.at n=26A213597
- Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1+x^j)^(j^k) in powers of x.at n=48A284993
- Expansion of Product_{j>=1} (1 - x^j)/(1 - x^(3*j))^3.at n=29A286952
- Expansion of Product_{j>=1} (1 - x^j)/(1 - x^(4*j))^4.at n=29A286953
- Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1 + j^k*x^j).at n=48A292068
- a(n) = 1*2 - 3*4 + 5*6 - 7*8 + 9*10 - 11*12 + 13*14 - ... + (up to n).at n=35A319373
- a(n) = 1*2*3*4 - 5*6*7*8 + 9*10*11*12 - 13*14*15*16 + ... - (up to n).at n=10A319544
- a(n) = 2*1 - 4*3 + 6*5 - 8*7 + 10*9 - 12*11 + 14*13 - 16*15 + ... - (up to the n-th term).at n=35A319885
- Expansion of Product_{k>=1} 1 / (1 + mu(k)^2 * x^k).at n=57A329069
- Fourier coefficients of the modular form (1/t_{6a}) * (1-6*sqrt(-3)/t_{6a}) * (1-12*sqrt(-3)/t_{6a})^(5/3) * F_{6a}^16.at n=2A341571
- Product_{n>=1} (1 + a(n) * x^n) = 1 + Sum_{n>=1} prime(n) * x^prime(n).at n=18A359177
- Expansion of Sum_{k>0} x^(2*k)/(1+x^k)^3.at n=36A363022