-416
domain: Z
Appears in sequences
- Binomial transform, alternating in sign, of the tribonacci numbers.at n=16A073358
- Square array of coefficients of binomial polynomials, read by antidiagonals.at n=39A080959
- Expansion of phi(-x) / psi(x^4) in powers of x where phi(), psi() are Ramanujan theta functions.at n=73A093085
- Expansion of (1-x^2)/(1-x-x^2+x^3+x^4).at n=24A101496
- Inverse of Riordan array (1/(1-x)^2,x(1-x)/(1+x)), A104698.at n=32A110271
- McKay-Thompson series of class 32d for the Monster group.at n=73A112172
- 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=47A121721
- Expansion of E(k) * K(k) * (2/Pi)^2 in powers of q^2 where E(), K() are complete elliptic integrals and the nome q = exp( -Pi * K(k') / K(k)).at n=24A122858
- Expansion of (1-2*x+2*x^2-x^3)/(1-3*x+5*x^2-3*x^3+x^4).at n=12A123879
- Expansion of (1+x)/(1+2x-2x^3).at n=15A124342
- Expansion of chi(x) * chi(-x^2)^2 * chi(-x^3) * chi(-x^4) * chi(x^6)^2 * chi(-x^12) in powers of x where chi() is a Ramanujan theta function.at n=74A134178
- Expansion of (eta(q)^2 * eta(q^4)^4 / eta(q^2)^3)^2 in powers of q.at n=19A138501
- Expansion of (phi(q) / phi(q^3) - 1) / 2 in powers of q where phi() is a Ramanujan theta function.at n=50A139139
- Expansion of K(k) * (2 * E(k) - K(k)) / (Pi/2)^2 in powers of q where E(k), K(k) are complete elliptic integrals and q = exp(-Pi * K(k') / K(k)).at n=24A143336
- a(n) = -2*a(n-1)+4*a(n-2), n>1 ; a(0) = 1, a(1) = -4.at n=5A152174
- Denominators of the fixed point a=(a_1,a_2,...) of the transformation x'= fix(x) where fix(x)_n = Sum_{d|n} d x_d, i.e., fix(a)=a.at n=26A153038
- a(n) = (3-4*n)*F(2*n-2) + (4-7*n)*F(2*n-1).at n=4A165206
- Totally multiplicative sequence with a(p) = 4*(p-3) for prime p.at n=57A167314
- Totally multiplicative sequence with a(p) = (p+2)*(p-3) = p^2-p-6 for prime p.at n=21A167359
- A triangle of coefficients based on the squares of the Chebyshev T and U polynomials: p(x,n)=If[Mod[n, 2] == 0, (ChebyshevT[n + 1, x]^2 + x^2*ChebyshevU[n, x]^2)/(2*x^2), (-1 + ChebyshevT[n + 1, x]^2 + x^2*ChebyshevU[n, x]^2)/(2*x^2)].at n=38A173335