-968

Appears in sequences

• arcsinh(arctanh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3-52/5!*x^5-440/6!*x^6...at n=7A012716
• Expansion of e.g.f. arcsinh(cosh(x) * log(x+1)).at n=7A012760
• Expansion of q^(-1/2) * (eta(q) * eta(q^2))^4 in powers of q.at n=51A030211
• Expansion of q^(-3) * (eta(q) * eta(q^8))^8 in powers of q.at n=14A034433
• Coefficients of replicable function number 12c.at n=16A058491
• McKay-Thompson series of class 24a for Monster.at n=16A058584
• Expansion of phi(-x) / psi(x^4) in powers of x where phi(), psi() are Ramanujan theta functions.at n=89A093085
• Riordan array (1/(1+2x), x/(1+x)).at n=58A103316
• Coordination sequence for octagonal tiling is a(n)*sqrt(2) + A103909(n).at n=27A103908
• Inverse of a triangle of pyramidal numbers.at n=47A110814
• Triangle read by rows: the n-th row consists of the coefficients in the expansion of Sum_{j=0..n} A123162(n,j)*x^j*(1 - x)^(n - j).at n=42A123217
• Triangle read by rows of coefficients of Chebyshev-like polynomials P_{n,4}(x) with 0 omitted (exponents in increasing order).at n=35A136390
• McKay-Thompson series of class 12c for the Monster group with a(0) = -4.at n=32A186930
• McKay-Thompson series of class 12c for the Monster group with a(0) = 4.at n=32A187045
• Triangle T(n,k), read by rows, given by T(n,0)=1, T(n,1)=2^(n+1)-n-2, T(n,n)=(-1)^(n-1) for n > 0, T(n,k)=T(n-1,k)-T(n-1,k-1) for 1 < k < n.at n=47A232774
• Expansion of f(-x, -x^5)^2 / (f(x^2, x^10) * f(x^6, x^18)) in powers of x where f(, ) is Ramanujan's general theta function.at n=45A283023
• Expansion of r(q^2) / r(q)^2 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=42A285348
• Expansion of Product_{k>=1} 1/(1 + x^k)^sigma(k).at n=25A288421
• Expansion of phi(x)^6 * phi(-x)^2 in powers of x where phi() is a Ramanujan theta function.at n=25A291124
• Expansion of Product_{n>=1} ((1 - (n*x)^n)/(1 + (n*x)^n))^(1/n).at n=5A303343