-1179

Appears in sequences

• Product_{k>=1}1/(1 - x^k)^a(k) = 1 + 2x.at n=13A038063
• Expansion of g.f. Product_{n>=1} (1-x^n)*(1-x^(5*n))/(1-x^(3*n))^2.at n=41A054274
• Expansion of (1 - x + 2*x^2) / (1 - x^3 + x^4).at n=51A110062
• Let a_0 = 1 and for n > 0, let a_n be the smallest positive integer not already in the sequence such that (a_0 + a_1 x + a-2x^2 + ....)^(1/3) has integer coefficients. (Hanna's A083349). Let f(n) = n th term in the present sequence. Then a_0 + a_1 x + a_2 x^2 + ... = (1-x)^f(1) (1-x^2)^f(2) (1-x^3)^f(3) ....at n=23A110879
• First differences of A142705.at n=39A142888
• Expansion of q * f(-q^1, -q^6)^3 / f(-q^2, -q^5)^2 * f(-q^3, -q^4) in powers of q where f() is Ramanujan's two-variable theta function.at n=36A305443
• Inverse Euler transform of (-1)^(n - 1).at n=14A320783
• Expansion of Sum_{k>0} (1/(1+x^k)^3 - 1).at n=46A363630
• G.f. A(x) satisfies A(x^3) = A(x)^3/(1 + 3*A(x)).at n=24A386659