-570

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=44A001484
• Expansion of e.g.f. cos(tan(x)*log(1+x)).at n=6A009077
• Expansion of x/ (1-4*x+16*x^2)^(3/2).at n=5A012125
• Expansion of e.g.f.: sech(tan(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6+3780/7!*x^7...at n=6A012360
• Expansion of e.g.f.: cos(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6+3780/7!*x^7...at n=6A012702
• Expansion of e.g.f.: sech(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6...at n=6A012708
• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=51A068762
• E.g.f. equals the ratio of two power series, each with triangular exponents of x.at n=6A093615
• Inverse of Riordan array (1/(1-x), x/(1-x)^4), A109960.at n=17A109962
• Numerator of Bernoulli(n, -4/11).at n=3A159248
• a(n) is equal to the rational part (considering of the field Q(sqrt(13))) of the numbers A(n)/sqrt(13), where we have A(n) = ((sqrt(13) - 1)/2)*A(n-1) + A(n-2) + ((3-sqrt(13))/2)*A(n-3), with A(0) = 6, A(1) = sqrt(13) - 1, and A(2) = 11 - sqrt(13).at n=12A216486
• Expansion of (1+2*x+30*x^2+13*x^3-13*x^5-30*x^6-2*x^7-x^8)/(1+2*x^4+x^8).at n=38A228937
• Difference between sums of quadratic residues and non-residues modulo n that are coprime to n.at n=56A255643
• Expansion of Product_{k>=1} (1 + x^(4*k))/(1 + x^k).at n=49A261734
• Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = Pi/2.at n=9A279592
• G.f.: Product_{m>0} (1 - x^m + 2!*x^(2*m) - 3!*x^(3*m)).at n=38A293255
• a(0) = 0, a(n) = -5*a(n/3) if n is divisible by 3, otherwise a(n) = n + a(n-1).at n=60A318488
• G.f.: 1 / (1 + Sum_{k>=0} x^(2^k)).at n=35A339422
• Fourier coefficients of the modular form (1/t_{3A}) * F_{3A}^12.at n=5A341557
• Dirichlet inverse of A358764.at n=21A359427