-952

Appears in sequences

• Expansion of Product_{m>=1} (1+m*q^m)^-21.at n=3A022713
• Signed version of A035607.at n=58A080246
• Expansion of 1/(1 - 2*x + 9*x^2).at n=7A127357
• Expansion of q^(-1/8)* eta(q)^5* eta(q^2)^3/ eta(q^4)^2 in powers of q.at n=64A128712
• Triangle read by rows of coefficients of Chebyshev-like polynomials P_{n,6}(x) with 0 omitted (exponents in increasing order).at n=31A136398
• Let c(n) = x^(2^n-1)*(1-x^(2^n)), g(n) = 1 + x^(2^n-1) + x^(2^n), h(n) = Product_{i=1..n} g(i); then use g.f. Sum_{n>=1} c(n)/h(n).at n=53A151676
• Expansion of (eta(q^2)^7 / eta(q^4)^2)^4 + 16 * (eta(q)^2 * eta(q^2) * eta(q^4)^2)^4 in powers of q.at n=6A173763
• Triangle T(n,k) = 1 - A176304(k) - A176304(n-k) + A176304(n), read by rows.at n=24A176306
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(2i-1 if i=j and 1 otherwise) for i>=1 and j>=1 (as in A204131).at n=32A204132
• 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=18A219235
• Coefficient array for the cube of Chebyshev's C polynomials.at n=85A220667
• Convolutory inverse of the Thue Morse sequence.at n=21A225132
• Table of coefficients of the algebraic number s(2*l+1) = 2*sin(Pi/(2*l+1)) as a polynomial in odd powers of rho(2*(2*l+1)) = 2*cos(Pi/(2*(2*l+1))) (reduced version).at n=54A228785
• Coefficient of x^6 in the minimal polynomial of the continued fraction [1^n,sqrt(2)+sqrt(3),1,1,...], where 1^n means n ones.at n=2A267066
• Triangle of coefficients of Gaussian polynomials [2n+7,6]_q represented as finite sum of terms (1+q^2)^k*q^(g-k), where k = 0,1,...,g with g=6n+3.at n=56A267486
• E.g.f. C = C(x,y) satisfies: A^2 + B^2 + C^2 = 1 + y^2 and A^3 + B^3 + C^3 = 1 + y^3, where functions A = A(x,y) and B = B(x,y) are described by A278885 and A278886, respectively.at n=57A278887
• Expansion of 1 - x/(1 - x^3/(1 - x^6/(1 - x^10/(1 - x^15/(1 - x^21/(1 - ... - x^(n*(n+1)/2)/(1 - ...))))))), a continued fraction.at n=57A290976
• G.f.: Sum_{n=-oo..+oo} x^(n*(n+1)/2) * C(x)^(2*n-1), where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).at n=48A355345
• a(n) = 8^n*sin (nB - nC)/sqrt(15), where A, B, C are, respectively, the angles opposite sides BC, CA, AB in a triangle ABC having sidelengths |BC| = 2, |CA| = 3, |AB| = 4; ABC is the smallest integer-sided scalene triangle.at n=4A375894