-307

Appears in sequences

• A sixth-order linear divisibility sequence: a(n+6) = -3*a(n+5) - 5*a(n+4) - 5*a(n+3) - 5*a(n+2) - 3*a(n+1) - a(n).at n=17A005120
• Numerators of generalized Bernoulli numbers.at n=9A006569
• Carlitz-Riordan q-Catalan numbers (recurrence version) for q=-7.at n=3A015103
• Expansion of (eta(q) * eta(q^5))^4 in powers of q.at n=48A030210
• a(n) = floor(Sum_{k=0..n} tan(k)).at n=52A051508
• Expansion of 1/(1+x-2*x^3).at n=17A077973
• Expansion of (1+x^2)/(1+x^2+x^5).at n=41A088002
• a(n)=det(M_n) where M_n is the n X n matrix m(i,j)=1 if sigma(i+j) is odd, 0 otherwise.at n=20A096733
• The trinomial transform (A027907) gives powers of 2, while the trinomial transform of this sequence shift one place left gives powers of 3.at n=10A100321
• a(n) = -n^2 + 9*n + 53.at n=24A126665
• G.f.: A(x) = 1 + x*(1 + x*(1 + x*(...(1 + x*(...)^(-3n) )...)^-9)^-6)^-3.at n=4A138209
• Expansion of o.g.f. (1-x^2)/(1-x+x^4).at n=39A193884
• Apply the triangle-to-triangle transformation described in the Comments in A159041 to the triangle in A142459.at n=7A225434
• Apply the triangle-to-triangle transformation described in the Comments in A159041 to the triangle in A142459.at n=8A225434
• G.f.: Sum_{n=-oo..+oo} x^n * (1 - x^n)^(3*n).at n=16A268298
• a(n) = -n^3 + 70*n^2 - 939*n + 2393.at n=4A279538
• A(n,k) is the n-th Carlitz-Riordan q-Catalan number (recurrence version) for q = -k; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=58A290789
• Expansion of 1/(1 + x*Product_{k>=1} 1/(1 - x^k)).at n=27A318581
• Dirichlet g.f.: 1 / (zeta(s) * zeta(s-1) * zeta(s-2)).at n=16A328254
• a(n) = coefficient in the power series expansion of A(x) = Sum_{n=-oo..+oo} x^n * (1-x)^n * ((1-x)^n + x^n)^n.at n=7A356776