54990

Appears in sequences

• Seventh diagonal (m=6) of triangle A084938; a(n) = A084938(n+6,n) = (n^6 + 45*n^5 + 925*n^4 + 11475*n^3 + 92314*n^2 + 413640*n)/720.at n=10A090392
• Amicable triples: numbers such that sigma(x) = sigma(y) = sigma(z) = x+y+z, x<y<z. We order these triples according to the common value of sigma. Sequence gives y numbers.at n=8A125491
• a(n) = n*(n+1)*(5*n^2 - n - 3)/2.at n=12A172118
• a(n) = (7*n + 3)*(7*n + 4).at n=33A177071
• Expansion of x * phi(x) * psi(x^14) / (f(-x) * f(-x^7)) in powers of x where phi(), psi(), f() are Ramanujan theta functions.at n=34A193883
• Number of free pure symmetric multifunctions with leaves a multiset whose multiplicities are the integer partition with Heinz number n.at n=38A317655
• G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^3).at n=12A364761
• Number of dessins d'enfants D(n,g) with n edges of genus g, read by rows.at n=35A380453