19032

Appears in sequences

• sech(sinh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-23/4!*x^4-20/5!*x^5...at n=9A012523
• a(n) = p(n+1)^2 + 2*p(n) + 1; p(n) is the n-th prime number and n >= 1.at n=31A155819
• a(n) = 1728*n + 24.at n=10A157325
• a(n) = 529*n^2 - 2*n.at n=5A158364
• Sum of the divisors of n^3 - 1.at n=20A234860
• Least integer k>1 such that sqrt(k)/log(k) exceeds n.at n=13A262058
• Number of ways writing n^2 as a sum of four squares: a(n) = A000118(n^2).at n=39A267326
• Expansion of 1/(1 - Sum_{k>=0} x^(3*k*(k+1)/2+1)).at n=31A282502
• Expansion of Product_{n>0} ((1-x^n)/(1+x^n))^(n^2) in powers of x.at n=13A285988
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=16A294550
• Numbers k satisfying gcd(k^2, sigma(k^2)) > sigma(k), where sigma is the sum-of-divisors function.at n=14A322154