-1280
domain: Z
Appears in sequences
- Triangle of coefficients of Chebyshev polynomials T_n(x).at n=34A008310
- Expansion of tan(tanh(x))*x.at n=5A009718
- Expansion of e.g.f.: tanh(log(1+x))*exp(x).at n=8A009778
- exp(sin(arctanh(x)))=1+x+1/2!*x^2+2/3!*x^3+5/4!*x^4+16/5!*x^5...at n=9A012051
- sinh(sin(arctanh(x)))=x+2/3!*x^3+16/5!*x^5+216/7!*x^7-1280/9!*x^9...at n=4A012056
- arcsin(arctan(arcsinh(x)))=x-2/3!*x^3+32/5!*x^5-1280/7!*x^7+96896/9!*x^9...at n=3A012214
- Expansion of e.g.f. log(sech(x) + arctanh(x)).at n=6A013209
- Coefficients of Chebyshev polynomials of the first kind: triangle of coefficients in expansion of cos(n*x) in descending powers of cos(x).at n=31A028297
- Triangle of coefficients of cos(x)^n in polynomial for cos(nx).at n=57A039991
- Triangle of coefficients of Chebyshev's T(n,x) polynomials (powers of x in increasing order).at n=63A053120
- McKay-Thompson series of class 14B for Monster.at n=21A058503
- Binomial transform, alternating in sign, of the tribonacci numbers.at n=18A073358
- Expansion of 1/(1+2*x+2*x^2+2*x^3).at n=17A077993
- Expansion of psi(x) / phi(x) in powers of x where phi(), psi() are Ramanujan theta functions.at n=27A083365
- (1,1) entry of powers of the orthogonal design shown below.at n=8A090590
- Matrix inverse of triangle A113287.at n=48A113288
- 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=46A118800
- Let f(n) = A004001(n)^2 - A005185(n)^2. Then a(n) = f(abs(f(n-1))) + f(abs(n - f(n-1))).at n=56A121459
- a(1)=1, a(2)=1, a(3)=4, a(4)=0; a(n)=12a(n-2)-16a(n-3) for n>=5.at n=7A123016
- Expansion of (1+x)/(1+2x-2x^3).at n=17A124342