-828

Appears in sequences

• Expansion of e.g.f.: exp(sec(x)-exp(x))=1-x+1/2!*x^2-2/3!*x^3+9/4!*x^4-32/5!*x^5...at n=7A013501
• Imaginary part of (5+12i)^n.at n=3A067358
• 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=32A071167
• a(n) = 2*a(n-1) - 3*a(n-2) + 2*a(n-3) with a(0) = 3, a(1) = 4, a(2) = 0.at n=18A105576
• Expansion of (f(x) / f(x^3))^6 in powers of x where f() is a Ramanujan theta function.at n=11A132107
• Expansion of q^(1/4) * (eta(q) / eta(q^3))^3 in powers of q.at n=22A199659
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202871; by antidiagonals.at n=25A202872
• Triangle read by rows: row n gives coefficients in an expansion of M_n*M_{-n}, where M_n = x^n+y^n+z^n and x,y,z satisfy x+y+z=0.at n=44A259107
• Let f(x) = 1 + Sum_{j>=4} (|mu(j)| - |mu(j-1)|)*x^j, where mu(n) is the Möbius function (A008683). Then a(n) is n times the coefficient of x^n in the expansion of log(f(x)).at n=32A262400
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 646", based on the 5-celled von Neumann neighborhood.at n=31A273329
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 646", based on the 5-celled von Neumann neighborhood.at n=33A273329
• a(n) = n! * [x^n] 1/(1 - n + exp(x)*(exp(n*x) - 1)/(exp(x) - 1)).at n=3A319509
• Expansion of 1/(theta_3(q) * theta_3(q^2) * theta_3(q^3)), where theta_3() is the Jacobi theta function.at n=13A320070
• E.g.f. satisfies A(x)^(A(x)^2) = 1/(1 - x*A(x)).at n=6A355767
• Expansion of 1/(Sum_{k>=0} x^(k^2))^2.at n=23A363774
• Expansion of (1/x) * Series_Reversion( x * (1+x^2/(1-x))^3 ).at n=7A369078