-2500

Appears in sequences

• Expansion of Product (1 - x^k)^8 in powers of x.at n=58A000731
• Coefficients of modular function G_3(tau).at n=37A005761
• Dirichlet inverse of sigma_2 function (A001157).at n=41A053822
• Triangle read by rows: first row is 1, and n-th row (n > 0) gives the coefficients in the expansion of the characteristic polynomial of the (n - 1)-th Bernstein basis matrix, horizontal flipped.at n=21A123948
• Triangle: signed version of A055134.at n=24A137370
• A triangular sequence in which the Prime[n]^(2*n) is treated like a variable expansion: (1-Prime[n])^(2*n) with the base Prime[0] is defined as one (in the Goldbach tradition) to lower the coefficients: t(n,m)=(-1)^m*Prime[n]^(2*n - m)*Binomial[2*n, m].at n=12A141024
• Expansion of q^(-1/3) * (eta(q)^8 + 8 * eta(q^4)^8) in powers of q^2.at n=29A153728
• Expansion of q^(-1/3) * (eta(q)^8 + 32 * eta(q^4)^8) in powers of q.at n=58A153729
• a(n) = -(-1)^n * n^2.at n=49A162395
• Totally multiplicative sequence with a(p) = 5*(p-3) for prime p.at n=55A167315
• Signed Delannoy triangle convolved with 10^n.at n=18A178870
• Determinant of the n X n (0,1)-matrix with (i,j)-entry equal to 1 if and only if i + j is 2 or an odd composite number.at n=22A228591
• Triangle read by rows: terms of a binomial decomposition of 1 as Sum(k=0..n)T(n,k).at n=19A244119
• Triangle read by rows: coefficients T(n,k) of a binomial decomposition of n as Sum(k=0..n)T(n,k)*binomial(n,k).at n=26A244132
• Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=79A255644
• Alternating sum of centered 25-gonal numbers.at n=19A270693
• G.f.: Sum_{k>=0} A000041(k)^2 * x^k / Sum_{k>=0} A000009(k)^2 * x^k.at n=17A304989
• a(n) = Sum_{d divides n} (-1)^(d + n/d) * d^2.at n=41A321558
• Dirichlet g.f.: zeta(2*s) / (zeta(s) * zeta(s-2)).at n=41A328639