-22176

Appears in sequences

• Expansion of e.g.f.: cosh(log(x+1)-tan(x))=1+3/4!*x^4+90/6!*x^6-168/7!*x^7+4725/8!*x^8...at n=9A013243
• sec(log(x+1)-tan(x))=1+3/4!*x^4+90/6!*x^6-168/7!*x^7+5145/8!*x^8...at n=9A013244
• Expansion of theta_3(q) / theta_3(q^2) in powers of q.at n=42A080015
• Triangle read by rows: T(n, k) is the coefficient of x^k in the polynomial 1 - ChT(n, x^(1/2))^2, where ChT(n, x) is the n-th Chebyshev polynomial of the first kind, evaluated at x (0 <= k <= n).at n=48A123588
• a(n) = C(n+5, 5)*(n+3)*(-1)^(n+1)*16/3.at n=6A138331
• Coefficients of modular function denoted G_5(tau) by Atkin.at n=25A186210
• Expansion of phi(-q) / phi(q^2) in powers of q where phi() is a Ramanujan theta function.at n=42A210030
• Expansion of phi(q^2) / phi(q) in powers of q where phi() is a Ramanujan theta function.at n=21A210065
• 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=42A262400
• Triangular array read by rows: row n shows the coefficients of this polynomial of degree n: (1/n!)*(numerator of n-th derivative of 1)/(1-x-2x^2).at n=40A328650
• Regular triangle of certain polynomial expansion coefficients for the n-th power series.at n=32A355570