-440

Appears in sequences

• arctan(sin(sinh(x))) = x - 2/3!*x^3 +16/5!*x^5 - 440/7!*x^7 + 20224/9!*x^9 - ....at n=3A012030
• arcsinh(arctanh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3-52/5!*x^5-440/6!*x^6...at n=6A012716
• Expansion of e.g.f.: log(cos(x)+arctan(x))=x-2/2!*x^2+3/3!*x^3-12/4!*x^4+73/5!*x^5...at n=6A013012
• Expansion of e.g.f.: log(sech(x)+arcsinh(x))=x-2/2!*x^2+4/3!*x^3-12/4!*x^4+68/5!*x^5...at n=6A013207
• Triangle read by rows: matrix 5th power of the Stirling-1 triangle A008275.at n=6A039817
• McKay-Thompson series of class 10E for Monster.at n=58A058101
• Expansion of reciprocal of Hauptmodul for Gamma_0(18).at n=37A092848
• G.f.: q^(2*n)* Product_{m=0..n-1} (1-q^(2*m+1))^2.at n=35A097198
• McKay-Thompson series of class 20C for the Monster group.at n=58A112159
• McKay-Thompson series of class 36h for the Monster group.at n=64A112177
• T(n, m) = 2^m * binomial(-m, n), for 0 <= m <= n, n >= 0, triangle read by rows.at n=48A122496
• Expansion of (eta(q) * eta(q^6))^7 / (eta(q^2) * eta(q^3))^5 in powers of q.at n=55A123532
• a(2*n) = 1-n^2, a(2*n+1) = n*(n+1).at n=40A131723
• McKay-Thompson series of class 10E for the Monster group with a(0) = 1.at n=58A132980
• a(0) = 121; for n>0, a(n) = a(n-1) - n + 1.at n=34A137517
• McKay-Thompson series of class 10E for the Monster group with a(0) = 2.at n=58A138516
• McKay-Thompson series of class 10E for the Monster group with a(0) = -3.at n=58A139381
• A triangle of coefficients of A053122 type binomials {x,y},{y,z} and {z,x}, made using A_n Cartan type matrix characteristic polynomials: an(x,n) = CharacteristicPolynomial(M(A_n,n)); f(x,y,n) = Sum[Coefficients(an[x,n)*x^i*y^(n-i),{i,0,n}]; p(x,y,z,n) = f(x,y,n) + f(y,z,n) + f(z,x,n).at n=56A139584
• Triangle T(n,k) = A053120(n+2,k)-2*A053120(n+1,k)+A053120(n,k) read by rows, 0<=k<n.at n=48A140876
• McKay-Thompson series of class 20C for the Monster group with a(0) = -2.at n=58A145740