-520

Appears in sequences

• Expansion of Product (1 - x^k)^8 in powers of x.at n=14A000731
• arcsinh(arctanh(x)*cos(x))=x-2/3!*x^3+28/5!*x^5-520/7!*x^7+59728/9!*x^9...at n=3A012745
• Triangle of D-analogs of Stirling numbers of first kind.at n=17A039762
• Triangle of D-analogs of Stirling numbers of first kind, rows reversed.at n=18A039763
• (1/18)*Difference between concatenation of n and n^2 and concatenation of n^2 and n.at n=15A055435
• a(n+1) = a(n) - a(floor(n/2)), with a(0)=0, a(1)=1.at n=63A062187
• An Alexander sequence for the knot 7_7.at n=7A099452
• E.g.f. of sin(arcsinh(x)) (odd powers only).at n=3A101927
• Self-COMPOSE of A107700; thus g.f. A(x) = G(G(x)) = x + 2*G(x)^2, where G(x) is the g.f. of A107700.at n=9A107701
• McKay-Thompson series of class 24G for the Monster group.at n=53A112161
• G.f.: 1/(1 -2 x^3 - x^4 + x^5).at n=28A122518
• Expansion of E(k) * K(k) * (2/Pi)^2 in powers of q^2 where E(), K() are complete elliptic integrals and the nome q = exp( -Pi * K(k') / K(k)).at n=36A122858
• Triangle read by rows: T(n,k) is the coefficient of x^k in the polynomial p[n,x] defined by p[ -1,x]=0, p[0,x]=1, p[1,x]=-x, p[n,x]=x*p[n-1,x]-(n-1)*p[n- 2,x]+(n-2)*p[n-3,x] for n>=2 (0<=k<=n).at n=57A123730
• Number triangle T(n,k)=(-1)^(n-k)*[k<=n]*Product{i=k+1..n,Sum{j=0..i-1,F(j-1)}}.at n=32A128207
• Expansions of the characteristic polynomials of certain matrices, see Mathematica code.at n=42A136449
• The real part of complex sequence: a(n) = a(n-1) + (1+i)*a(n-2).at n=13A143055
• Expansion of K(k) * (2 * E(k) - K(k)) / (Pi/2)^2 in powers of q where E(k), K(k) are complete elliptic integrals and q = exp(-Pi * K(k') / K(k)).at n=36A143336
• Expansion of q^(-1/3) * (eta(q)^8 + 8 * eta(q^4)^8) in powers of q^2.at n=7A153728
• Expansion of q^(-1/3) * (eta(q)^8 + 32 * eta(q^4)^8) in powers of q.at n=14A153729
• Expansion of f(q)^8 in powers of q where f() is a Ramanujan theta function.at n=14A161969