77952

Appears in sequences

• arctanh(arctan(tanh(x)))=x-2/3!*x^3+24/5!*x^5-944/7!*x^7+77952/9!*x^9...at n=4A012228
• Number of possible queen moves on an n X n chessboard.at n=28A035005
• Expansion of e.g.f.: -(log(1-x))^3*x.at n=8A052758
• Generalized Catalan numbers 8*x*A(x)^2 -A(x) +1 -7*x=0.at n=5A068770
• Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies: f(x,y) = g(x,y) + xy*f(x,y)^4 and where g(x,y) satisfies: 1 + (x+y-1)*g(x,y) + xy*g(x,y)^2 = 0.at n=49A089447
• Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies: f(x,y) = g(x,y) + xy*f(x,y)^4 and where g(x,y) satisfies: 1 + (x+y-1)*g(x,y) + xy*g(x,y)^2 = 0.at n=50A089447
• Numbers with prime factorization pqrs^7.at n=19A190473
• E.g.f.: Sum_{n>=0} x*(n + x)^(n-1) * x^n/n!.at n=7A195203
• Expansion of Product_{k>=1} 1/(1-x^k)^(k*(k+1)).at n=11A258347
• Triangle, read by rows, where the g.f. of row n equals the sum of permutations of compositions of functions (1 + k*y*x) for k=1..n with parameter y independent of variable x, as evaluated at x=1.at n=25A277408
• Let f_k(n) be the result of applying phi (the Euler totient function A000010) k times to n; a(n) = n*Product_{k=1..oo} f_k(n).at n=28A291782
• Numbers k such that k = Product (p_j^e_j) = Product (p_j*(e_j + 1)).at n=23A304410