-1331

Appears in sequences

• Expansion of Product (1 - x^k)^8 in powers of x.at n=40A000731
• Coefficients of modular function G_4(tau).at n=37A005762
• a(n)=L(n)^2*C(n), L(n)=Lucas numbers (A000032), C(n)=reflected Lucas numbers (comment to A061084).at n=5A075151
• Row sums of a number triangle related to the Pell numbers.at n=36A110331
• Triangle T, read by rows, where all columns of T are different and yet all columns of the matrix square T^2 (A118407) are equal; also equals the matrix inverse of triangle A118400.at n=128A118404
• Expansion of a level 11 weight 7 multiplicative modular form in powers of q.at n=10A138661
• Expansion of q^(-1/3) * (eta(q)^8 + 8 * eta(q^4)^8) in powers of q^2.at n=20A153728
• Expansion of q^(-1/3) * (eta(q)^8 + 32 * eta(q^4)^8) in powers of q.at n=40A153729
• 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=46A157985
• Second right hand column of the Beta triangle A160480.at n=8A160483
• Expansion of f(q)^8 in powers of q where f() is a Ramanujan theta function.at n=40A161969
• Coefficients in expansion of Jacobi theta_1'''(0).at n=15A178737
• First differences of A000463.at n=73A188652
• Expansion of phi(-x)^2 * f(-x)^6 + 32 * x * psi(-x)^2 * f(-x^4)^6 in powers of x where phi(), psi(), f() are Ramanujan theta functions.at n=30A215601
• Coefficient array for the third power of the monic integer Chebyshev polynomials 2*T(2*n+1,x/2)/x as a function of x^2.at n=35A219235
• Values of n such that L(14) and N(14) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=5A227517
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 353", based on the 5-celled von Neumann neighborhood.at n=21A271308
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 497", based on the 5-celled von Neumann neighborhood.at n=29A272559
• Dirichlet g.f.: 1 / zeta(s-3).at n=10A334659
• a(1) = 1, a(2) = -9; a(n) = -n^3 * Sum_{d|n, d < n} a(d) / d^3.at n=10A359531