51072

Appears in sequences

• Theta series of laminated lattice LAMBDA_11^{min}.at n=6A006910
• Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^3.at n=30A028696
• Theta series of lattice D3 tensor D3 (dimension 9, det. 4096, min. norm 4).at n=15A033693
• a(n) is the least positive integer such that the integer part of the arithmetic-geometric mean of a(n) and 1 is equal to 3^n.at n=8A090856
• a(1) = 1, a(2) = 2, next terms up to a(2n-1) are obtained by multiplying previous terms a(n-1) by n+1, a(n-2) by n+2 etc. a(2) by (2n-2) and a(1) by 2n-1. On similar lines a(2n) = 2n*a(2n-2), a(2n+1) = (2n+1)*a(2n-1) and so on.at n=37A109844
• Dimensions of the irreducible representations of the simple Lie algebra of type E7 over the complex numbers, listed in increasing order.at n=12A121736
• a(n) = 4*(n^1 + 1!)*(n^2 + 2!)*(n^3 + 3!)*(n^4 + 4!)*(n^5 + 5!)/5!.at n=2A131527
• Binomial transform of [1, 5, 10, 10, 5, 1, 1, -1, 1, -1, 1, ...].at n=19A140228
• Numbers with prime factorization pqrs^7.at n=10A190473
• a(n) = r1^n + r2^n + r3^n where r1, r2, r3 are the three roots of x^3 - 2*x - 2 = 0.at n=18A191697
• Numbers k such that k = Product (p_j^e_j) = Product (pi(p_j)*p_j), where pi() = A000720.at n=30A304194
• Numbers k such that k = Product (p_j^e_j) = Product (p_j*(e_j + 1)).at n=14A304410
• For 1<=x<=n, 1<=y<=n, write gcd(x,y) = u*x+v*y with u,v minimal; a(n) = sum of the values of u^2+v^2.at n=33A345434
• Consider primitive pairs of integers (b, c) with b > 0 such that x^5 + b*x + c = 0 is irreducible and solvable by radicals: sequence gives values of c.at n=21A371554