-1314

Appears in sequences

• 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=71A131641
• G.f.: Product_{m>0} (1 - x^m + 2!*x^(2*m) - 3!*x^(3*m)).at n=49A293255
• Fourier coefficients of the modular form (1/t_{3A}) * sqrt(1 - 108/t_{3A}) * F_{3A}^10.at n=5A341555
• a(n) = Sum_{k=1..n} mu(k) * k^(n - k).at n=8A344433
• a(n) = Sum_{k=0..floor(n/3)} n^k * Stirling1(n,3*k).at n=6A356362
• Expansion of Sum_{k>0} (1/(1+x^k)^3 - 1).at n=48A363630