-586

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=51A001484
• Exponential reversion of partitions into distinct parts A000009.at n=6A050394
• G.f. satisfies x = A(x)*(1-A(x))/(1-A(x)-(A(x))^2).at n=13A108623
• Let p_n be the polynomial of degree n-1 that interpolates the first n primes (i.e., p_n(i) = prime(i) for 1 <= i <= n.) Then a(n) = p_n(n+1)/2.at n=11A121049
• Irregular triangle, read by rows: T(n, k) = [x^k]( y(n, x) ), where y(n, x) = - 2*y(3, x) - x*y(n-1, x) + 2*x^2*y(n-1, x) + x^2*y(n-2, x), and y(1, x) = -8 - 3*x + 8*x^2, y(2, x) = 4 - 4*x - 10*x^2 + 4*x^3 + 4*x^4, y(3, x) = -8 + 4*x + 24*x^2 - 9*x^3 - 24*x^4 + 4*x^5 + 8*x^6.at n=54A131641
• G.f.: sqrt(1 + 2*Sum_{n>=1} 2^n*x^(n^2)).at n=8A227315
• Expansion of Product_{j>=1} (1 - x^j)/(1 - x^(3*j))^3.at n=25A286952
• Expansion of (1 - x)*Sum_{k>=1} k*phi(k)*x^k/(1 - x^k), where phi() is the Euler totient function (A000010).at n=43A292302
• Expansion of Product_{n>=1} ((1 - (8*x)^n)/(1 + (8*x)^n))^(1/8).at n=4A303395
• Expansion of Sum_{k>0} x^(2*k)/(1+x^k)^3.at n=32A363022