-609
domain: Z
Appears in sequences
- Sequence is defined by property that binomial transform of (a0,a1,a2,a3,...) = (a0,a0,a0,a1,a1,a1,a2,a2,a2,a3,a3,a3,...).at n=13A051166
- Partial sums of A073579.at n=47A077039
- Triangle of coefficients in the numerators of rational functions in tanh(1) that express the (2n)th du Bois-Reymond constants as C_0 = 0, C_2 = -4 - 1/(1-tanh(1)), for n>1, C_2n = -3 - (Sum_{k=0..n} a(n,k)*tanh(1)^k) / (2^n*n! * (1-tanh(1))^n).at n=22A104053
- Alternating sum of diagonals in A060177.at n=43A104575
- Coefficients of polynomials B(x,n) = ((1+a+b)*x - c)*B(x,n-1) - a*b*B(x,n-2) where B(x,0) = 1, B(x,1) = x, a=-b, b=1, c=1.at n=60A136531
- Expansion of (1-2x-5x^2-7x^3+x^6)/((1-x)(1-x^3)^2).at n=29A141352
- Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=1, k=-1 and l=-1.at n=8A176953
- a(n) = 0^n + 1 - F(n-1)^2 - F(n)^2, where F = A000045.at n=8A186025
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max{i(j+1-1),j(i+1)-1} (A203998).at n=24A203999
- G.f. satisfies: A(x) = 1/Product_{n>=1} (1 - x^n/A(x^n)^n).at n=48A205777
- a(n) = -7^n*A(2*n+1), where A(n) = A(n-1) + A(n-2) + A(n-3)/7, with A(0)=3, A(1)=1, A(2)=3.at n=2A215794
- a(n) = ((sqrt(2); sqrt(2))_n + (-sqrt(2); -sqrt(2))_n)/2, where (q; q)_n is the q-Pochhammer symbol.at n=6A276474
- Expansion of Product_{k>=1} (1 - q^k)^8/(1 - q^(7*k)) in powers of q.at n=37A282942
- a(n) = (-1)^n * A000045(n) + 1.at n=15A355020
- Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = -(1/n) * Sum_{d|n} phi(n/d) * (-k)^d.at n=48A382993
- a(n) = A325977(A228058(n)).at n=47A389217