-565
domain: Z
Appears in sequences
- cos(sec(x)*arctanh(x))=1-1/2!*x^2-19/4!*x^4-565/6!*x^6-24743/8!*x^8...at n=3A012845
- a(n+1) = a(n) - a(floor(n/2)), with a(0)=0, a(1)=1.at n=60A062187
- First order recursion: a(0)=1; a(n) = sigma(1,n) - a(n-1).at n=55A083238
- a(n+3) = 6*a(n) - 5*a(n+2), a(0) = -1, a(1) = 5, a(2) = -25.at n=4A110212
- Partial sums of A127511.at n=10A127513
- Partial sums of A127511.at n=11A127513
- Moebius inversion of a sequence related to powers of 2.at n=14A178738
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(i if i=j and 1 otherwise) (A204125).at n=23A204126
- G.f.: Product_{k>=1} 1/(1+x^k)^k.at n=39A255528
- Expansion of f(-x) * f(x^4, x^8) / f(-x^3)^2 in powers of x where f(, ) is Ramanujan's general theta function.at n=41A263050
- Alternating sum of centered octagonal pyramidal numbers.at n=9A270695
- Expansion of exp( Sum_{n>=1} -sigma(6*n)*x^n/n ) in powers of x.at n=26A283164
- a(n) = a(n-2) - 2*a(n-3) + a(n-4) for n>3, a(0)=0, a(1)=2, a(2)=-1, a(3)=3.at n=14A286390
- a(n) = ((-4)^((p-1)/4) - 1)/p, where p is the n-th prime congruent to 1 mod 4.at n=3A318898
- G.f. A(x) satisfies: A(x) = 1 + x * A(x) / (1 - x) - x * A(x)^2.at n=13A349015
- Numerators of coefficients in expansion of sqrt( Sum_{j>=1} x^prime(j) ).at n=6A364700