-863

Appears in sequences

• Numerators of logarithmic numbers (also of Gregory coefficients G(n)).at n=6A002206
• Numerators of Cauchy numbers of first type.at n=6A006232
• sin(sinh(x)+tan(x))=2*x-5/3!*x^3-71/5!*x^5-863/7!*x^7-11207/9!*x^9...at n=3A013045
• Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^3.at n=27A029840
• Coefficients of the '6th-order' mock theta function psi(q).at n=62A053269
• Expansion of (1-x)^(-1)/(1-2*x+2*x^3).at n=13A077853
• Triangle of coefficients of characteristic polynomials of anti-symmetrical tridiagonal matrices: Middle diagonal: a=1; Lower first subdiagonal: b=2; Upper first subdiagonal: c=-2; Example: M(3) {{1, -2, 0}, {2, 1, -2}, {0, 2, 1}}.at n=29A136643
• a(n) = 2*a(n-1) - 5*a(n-2), with a(1) = -1, a(2) = -7.at n=7A138749
• Numerators of upper right triangle of a(i,j) = Integral_{x=i..i+1} Sum_{k=0..j} A048994(j,k)*x^k.at n=21A140825
• Numerators of upper right triangle of a(i,j) = Integral_{x=i..i+1} Sum_{k=0..j} A048994(j,k)*x^k.at n=25A140825
• Triangle of subsequences of A140825 with a mirror symmetry.at n=10A141045
• Triangle of subsequences of A140825 with a mirror symmetry.at n=14A141045
• Numerator of Hermite(n, 1/24).at n=3A159949
• Prime-generating polynomial: a(n) = 4*n^2 + 12*n - 1583.at n=12A182409
• Triangle read by rows: numerators of degenerate Bernoulli numbers written as powers of lambda.at n=27A209123
• Values of the prime-generating polynomial 4*n^2 - 284*n + 3449.at n=22A210626
• Values of n such that L(3) and N(3) 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=25A226923
• Triangle of numerators of the unreduced coefficients of a numerical integration for a prediction Adams method.at n=27A235936
• Expansion of f(x^3, x^5) / f(x, x^3) in powers of x where f(, ) is Ramanujan's general theta function.at n=51A258741
• Triangle of coefficients of Gaussian polynomials [2n+5,4]_q represented as finite sum of terms (1+q^2)^k*q^(g-k), where k = 0,1,...,g with g=4n+2.at n=71A267484