-526

Appears in sequences

• Expansion of e.g.f. cos(sinh(log(1+x))).at n=6A009053
• Inverse Euler transform of {1, primes}.at n=42A030011
• Inverse of the Delannoy triangle.at n=41A103136
• Riordan array ((1-x+sqrt(1+6*x+x^2))/2, (sqrt(1+6*x+x^2)-x-1)/2).at n=51A112477
• G.f.: 1/(1 -2 x^3 - x^4 + x^5).at n=27A122518
• Expansion of q^(-1/8)* eta(q)^5* eta(q^2)^3/ eta(q^4)^2 in powers of q.at n=39A128712
• Triangle read by rows, T[n,2i-1]=2T[n-1,i],T[n,2i]=2k-1-2T[n-1,i].at n=41A138583
• Expansion of 1/(x^10*p(1/x)), where p(x) = x^11 + x^10 - 11*x^9 - 11*x^8 + 42*x^7 + 40*x^6 - 66*x^5 - 54*x^4 + 42*x^3 + 24*x^2 - 8*x - 1 is a Salem polynomial.at n=8A143478
• Infinite product representation of series 1 - log(1-x) = 1 + Sum_{j>=1} (j-1)!*(x^j)/j!.at n=6A157159
• 1/product(1 - a(n)*(x^n)/n!, n=1..infinity) = 1 + sum((x^k)/k, k=1..infinity) = 1 - log(1-x).at n=6A157164
• Numerator of Hermite(n, 7/19).at n=2A159645
• Numerator of Hermite(n, 17/29).at n=2A160279
• a(n) = 1 + 3*n - 2*n^2.at n=17A168244
• Expansion of k(q)^3 * k'(q)^2 * (K(q) / (Pi/2))^6 / 64 in powers of q where k(), k'(), K() are Jacobi elliptic functions.at n=25A225872
• Expansion of f(-x^3)^3 / (f(-x^2) * f(-x^4)^2) in powers of x where f() is a Ramanujan theta function.at n=25A262150
• Expansion of 1/(1 + x/(1 + x^4/(1 + x^9/(1 + x^16/(1 + x^25/(1 + ... + x^(k^2)/(1 + ...))))))), a continued fraction.at n=42A285408
• G.f. A(x) satisfies: x = 1 - A(x) - A(x)^2 + A(x)^4.at n=4A295544
• Inverse Euler transform of the number of distinct prime factors (without multiplicity) function A001221.at n=63A320777
• G.f.: Sum_{n>=0} (2*n+1) * x^n * (1 - x^n)^n.at n=34A326607
• Product_{n>=1} (1 + x^n)^(a(n)/n!) = 1 - log(1 - x).at n=6A352664