-325

Appears in sequences

• Expansion of e.g.f.: tanh(log(1+x)/exp(x)).at n=5A009788
• sech(cos(x)*arcsin(x))=1-1/2!*x^2+13/4!*x^4-325/6!*x^6+14873/8!*x^8...at n=3A012492
• Low temperature series for spin-1/2 Ising partition function on 5D simple cubic lattice.at n=20A030047
• Alternating sum of squares to n.at n=24A089594
• Numerator of b(n) given by b(1) = 1, b(2) = 2; for n >= 3, b(n) = (-1)^n (2n-1) ((n-2)!!)^2/((n-1)!!)^2, where n!! is the double factorial A006882.at n=6A095159
• Polynomials interpolating their own integral coefficients, read by row. The leading coefficients are positive and minimal.at n=11A103423
• a(n) = sum( (-1)^(r+1)*(n-r)*r, r = 1..floor(n/2) ).at n=50A110422
• Moebius transform of A007318 (signed).at n=70A128313
• Expansion of q^(-1/3) * a(q) * b(q) * c(q) / 3 in powers of q where a(), b(), c() are cubic AGM theta functions.at n=58A130539
• a(n) = (-1)^n * Sum_{i=1..floor(n/2)} i * floor(n/(n-i)).at n=51A131119
• B(n,k) an additive decomposition of (4^n-2^n)*B(n), B(n) the Bernoulli numbers (triangle read by rows).at n=11A154345
• G.f.: Product_{n>=1} (1 - Lucas(n)*x^n + (-1)^n*x^(2*n)) where Lucas(n) = A000204(n).at n=12A203860
• Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=38A255644
• Numerators of the inverse binomial transform of the Bernoulli numbers with B(1)=1.at n=10A257935
• G.f.: 1/(1 + x/(1 + 2*x^2/(1 + 3*x^3/(1 + 4*x^4/(1 + 5*x^5/(1 + 6*x^6/(1 + ... ))))))), a continued fraction.at n=22A285409
• The arithmetic function uhat(n,1,7).at n=64A291501
• The arithmetic function uhat(n,2,8).at n=64A291513
• Expansion of 1/(1 + x/(1 + x^3/(1 + x^4/(1 + x^7/(1 + x^11/(1 + ... + x^Lucas(k)/(1 + ...))))))), a continued fraction.at n=19A294922
• G.f. A(x) satisfies: Sum_{n>=0} x^n * A(x)^(n^2) = Sum_{n>=0} x^(n^2).at n=7A325218
• Dirichlet inverse of A336849.at n=65A346254