-364

Appears in sequences

• Triangle of coefficients of Chebyshev polynomials T_n(x).at n=50A008310
• Expansion of Product_{m>=1} 1/(1 + m*q^m).at n=17A022693
• Triangle of coefficients in expansion of sin(n*x) (or sin(n*x)/cos(x) if n is even) in ascending powers of sin(x).at n=43A028298
• 8th differences of primes.at n=27A036269
• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^14 in powers of x.at n=3A047639
• Triangle of coefficients of Chebyshev's S(n,x-2) = U(n,x/2-1) polynomials (exponents of x in increasing order).at n=41A053122
• Triangle of coefficients of shifted Chebyshev's S(n,x-2) = U(n,x/2-1) polynomials (exponents of x in decreasing order).at n=39A053123
• a(n) = A023194 - A062700(n). Negative values of A071166(m) = m-A006530(A000203(m)) differences. In these cases m is square number from A023194.at n=7A071167
• Array of coefficients of P(n,x) = det (M(n,x)) where M(n,x) is the n X n matrix m(i,j)=x if i>j m(i,j)=1-x if i<=j.at n=39A079628
• Triangle of coefficients of Chebyshev polynomials T_{2n+1} (x).at n=22A084930
• Riordan array (1,x(1-x)^2).at n=62A109970
• Expansion of -(3 - x + 2*x^2) / (1 - x^3 + x^4).at n=34A110063
• Triangle read by rows: T satisfies the matrix products: C*T*C = T^-1 and T*C*T = C^-1, where C is Pascal's triangle.at n=41A118800
• Coefficient table for Chebyshev's U(2*n,x) polynomials in decreasing powers of (1-x^2).at n=26A127675
• Riordan array (1/(1+x)^3, x/(1+x)^3).at n=24A127895
• 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=41A129862
• See Mathematica program.at n=41A130605
• Expansion of (f(x) / f(x^3))^6 in powers of x where f() is a Ramanujan theta function.at n=9A132107
• Triangle read by rows: row n gives coefficients C(n,j) for a Sheffer sequence (binomial-type) with raising operator -x { 1 + W[ -exp(-2) * (2+D) ] } where W is the Lambert W multi-valued function.at n=22A135338
• 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=41A136600