-1624

Appears in sequences

• G.f. satisfies: A(x) = 1/(1 + x*A(x^7)) and also the continued fraction: 1 + x*A(x^8) = [1; 1/x, 1/x^7, 1/x^49, 1/x^343, ..., 1/x^(7^(n-1)), ...].at n=37A101917
• a(n) = a(n-1) - 2*a(n-2) - 3*a(n-3) - ... - (n-1)*a(1), with a(1) = a(2) = 2, a(3) = -2.at n=12A106541
• a(n) = -a(n-6) + 3*a(n-5) + a(n-4) - 7*a(n-3) + a(n-2) + 3*a(n-1).at n=13A122504
• Triangle, T(n, k) = (1/2)*(n+2)! * [x^k]( p(x, n) ), where p(x,0) = 1, p(x,1) = -x, P(x, n) = (1/(n+1))*( (2*n-x)*P(x, n-1) - n*P(x, n-2) ), read by rows.at n=18A136532
• Hankel transform of A158500.at n=13A158501
• a(n) = (-n^5 + 15*n^4 - 65*n^3 + 125*n^2 - 34*n + 40)/40.at n=13A161713
• Triangle read by rows: numerators of degenerate Bernoulli numbers written as powers of lambda.at n=40A209123
• Triangle read by rows of coefficients of polynomials generated by the Han/Nekrasov-Okounkov formula.at n=33A234937
• Coefficients of "optimum L" polynomials L_n(ω^2) ordered by increasing powers.at n=41A245320
• Coefficients of "optimum L" polynomials L_n(ω^2) ordered by increasing powers.at n=49A245320
• Expansion of Product_{n>0} ((1-x^n)/(1+x^n))^(n^2) in powers of x.at n=10A285988
• First differences of A067046.at n=26A291681
• Expansion of Product_{k>=1} ((1 - k*x^k)/(1 + k*x^k)).at n=20A292317
• First term of n-th difference sequence of (floor(k*r)), r = -sqrt(2), k >= 0.at n=13A325665
• G.f. A(x) satisfies: A(x) = 1 + x * ((1 - x) * A(x))^2.at n=17A336165