-2205

Appears in sequences

• exp(arcsinh(x)-log(x+1)) = 1+1/2!*x^2-3/3!*x^3+9/4!*x^4-45/5!*x^5...at n=7A013492
• Expansion of e.g.f. theta_3^(1/2).at n=7A015664
• Expansion of q^(-1) * f(-q^2, -q^5)^2 * f(-q^3, -q^4) / f(-q^1, -q^6)^3 in powers of q where f() is Ramanujan's two-variable theta function.at n=40A108481
• a(2n) = -5*(fibonacci(6n+2))^2, a(2n+1) = (lucas(6n+5))^2.at n=2A108791
• Lower triangular array T(n,k) generator for group of arrays related to A001147 and A102625.at n=30A132382
• Expansion of sqrt(1-4*x)/(1+x).at n=9A181641
• Coefficient table of numerator polynomials of o.g.f.s for partial sums of powers of positive integers.at n=18A196837
• Expansion of q^(-1) * f(-q^3, -q^4)^3 / (f(-q^1, -q^6)^2 * f(-q^2, -q^5)) in powers of q where f() is Ramanujan's two-variable theta function.at n=40A246713
• a(1) = 1, a(2) = -5; a(n) = -n^2 * Sum_{d|n, d < n} a(d) / d^2.at n=41A359485
• a(n) = Sum_{k=0..floor(n/2)} (-1)^k * binomial(n-k,k) * Catalan(k).at n=18A360024
• Expansion of e.g.f. S(x,k) satisfying S(x,k) = sin( x*cos(k*x*sqrt(1 - S(x,k)^2)) ), as a triangle read by rows.at n=7A370331
• Expansion of e.g.f. T(x,k) satisfying T(x,k) = (1/k) * sin( k*x*cos(x*sqrt(1 - k^2*T(x,k)^2)) ), as a triangle read by rows.at n=8A370333
• Dirichlet inverse of A341529, where A341529(n) = sigma(n) * A003961(n), and A003961 is fully multiplicative with a(prime(i)) = prime(i+1).at n=49A378229