-784

Appears in sequences

• Expansion of e.g.f. log(1+x*cos(x)).at n=8A003728
• Expansion of log(1+x/cosh(x)).at n=8A009443
• sin(sec(x)*arctan(x))=x+20/5!*x^5-784/7!*x^7+26256/9!*x^9...at n=3A012802
• Expansion of Product_{m>=1} (1+q^m)^(-4).at n=15A022599
• McKay-Thompson series of class 12e for Monster.at n=45A058493
• Weight 5 level 11 cusp form with complex multiplication by Q(sqrt(11)) and trivial character.at n=19A065099
• A076341(A000290(n)), imaginary part of squares mapped as defined in A076340, A076341.at n=38A076350
• Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1 + x - 2*x^2)^n.at n=60A084612
• Matrix logarithm of A008459 (squared entries of Pascal's triangle), read by rows.at n=42A101980
• McKay-Thompson series of class 12f for the Monster group.at n=45A112149
• Coefficients for obtaining A120057 from Bell numbers.at n=39A120058
• Triangle read by rows: T[n, m] = Sum[m^3 - 3*m^2*k + 3*m*k^2 - k^3, {k, 0, n - 1}] + m^4.at n=36A121721
• Fifth column (m=4) of triangle A128494.at n=22A128499
• Fifth column (m=4) of triangle A128494.at n=23A128499
• Triangle read by rows: T(n,k) is the coefficient [x^k] of (-1)^n times the characteristic polynomial of the Cartan matrix for the root system D_n.at n=39A129862
• Triangle of coefficients of characteristic polynomials of a special type of Cartan matrix: E_n for E_6,E_7,E_8,E_11 example M(6)/ E_6: {{2, -1, 0, 0, 0, 0}, {-1, 2, -1, 0, 0, 0}, {0, -1, 2, -1, 0, -1}, {0, 0, -1, 2, -1, 0}, {0, 0, 0, -1, 2, 0}, {0, 0, -1, 0, 0, 2}},.at n=39A136600
• Triangle T(n,k) read by rows: coefficient [x^k] of the polynomial p(n,x) with p(0,x) = 1, p(1,x) = 2 - x, p(2,x) = 1 - 4*x + x^2 and p(n,x) = (2-x)*p(n-1,x) - p(n-2,x) if n>2.at n=62A136674
• Triangle by rows with row n formed by coefficients of the characteristic polynomial of the n X n tridiagonal matrix with m_{i,i} = 2 for i=1..n, m_{i,i-1} = m_{i,i+1} = -1 for i=2..n-1, and m_{1,2} = m_{n,n-1} = -2.at n=62A140882
• a(n) = -(-1)^n * n^2.at n=27A162395
• Totally multiplicative sequence with a(p) = 7*(p-3) for prime p.at n=37A167317