-361

Appears in sequences

• Expansion of log(1+tan(x))/cosh(x).at n=6A009373
• Partition function coefficients for square lattice spin 5/2 Ising model.at n=60A010109
• First order recursion: a(0)=1; a(n) = sigma(1,n) - a(n-1).at n=45A083238
• Alternating partial sums of A000217.at n=37A083392
• Number triangle read by rows, related to exp(x)/(cos(x) + sin(x)).at n=15A117442
• Expansion of Product_{k>=1} (1 + x^k)^lambda(k) where lambda(k) is the Liouville function, A008836.at n=72A118207
• Semiprime(n)*semiprime(n+3) - semiprime(n+1)*semiprime(n+2), where semiprime(n) is the n-th semiprime.at n=35A118780
• Expansion of -1/(1 - x + 3*x^2 - 2*x^3 + x^4 - 2*x^5 + x^6).at n=13A129920
• A generalized PolyLog triangular sequence of coefficients: k = (n + 1); b0 = 1; p(x,n,k)=(k - 1)!*(1 - x)^n*PolyLog[ -n, k, x]/(x*Log[1 - x]); t(n,m)=Coefficients(p(b0,n,k)).at n=12A142336
• Convolution of A006352 and A010815.at n=15A143278
• a(n) = 3/8 + (3/8)*(-1)^n + ((n+1)/4)*(-1)^(n+1) + ((n+2)*(n+1)/4)*(-1)^(n+2).at n=37A152032
• Perfect powers (m^k where m is an integer and k >= 2) multiplied by -1 when m is prime for largest k (m^k thus a prime power).at n=26A157985
• Expansion of (1 - 2*x^3 - x^4 - x^5 + x^6 + x^7 - x^8)/(1 - x^3)^3.at n=59A158613
• Irregular triangle of coefficients of Product_{j=1..n} (x^j - x - 1), read by rows.at n=41A166919
• Expansion of exp( Sum_{n>=1} -3*sigma(2n)*x^n/n ) in powers of x.at n=45A185653
• Expansion of (1+x)*(1+x+x^2)*(1-x+x^2-4*x+x^4-x^5+x^6)/(1+x^4)^3.at n=36A188444
• Expansion of (1+x)*(1+x+x^2)*(1-x+x^2-4*x+x^4-x^5+x^6)/(1+x^4)^3.at n=37A188444
• Abundances of A188484(n).at n=1A188487
• Expansion of e.g.f.: exp(-x) / cosh(2*x).at n=5A212435
• Triangle read by rows, coefficients of polynomials related to the Springer numbers A001586.at n=15A214554