50464

Appears in sequences

• Expansion of tan(x)*sin(sin(x)).at n=5A009740
• Expansion of e.g.f.: tanh(x)*exp(sinh(x)).at n=10A009829
• Scaled array A078740 ((3,2)-Stirling2).at n=42A090452
• Initial members of abundant quintuplets, i.e., values of k such that (k, k+2, k+4, k+6, k+8) are all abundant numbers.at n=9A108926
• a(n) = A192525(n)/2.at n=36A192526
• Let s denote the sum of the abundant numbers in the aliquot parts of x. Sequence lists numbers x such that sigma(s) = usigma(x), where usigma(x) is the sum of the unitary divisors of x (A034448).at n=14A258135
• a(n) = Sum_{k=1..n} ((-1)^(n-k) * k / ((n+1)^2 + (k-1)*(n+1))) * binomial(n+1, k+1) * binomial(n+k, k)^2.at n=7A271777
• Triangle read by rows: T(n,k) is the number of bargraphs of semiperimeter n having width k (n>=2, k>=1).at n=84A271942
• Triangle T(n,k) read by rows: the number of independent sets of size k in the 132 core of size n.at n=35A278390
• a(n) = a(n-1) + 3*a(n-2) - 2*a(n-3) - 2*a(n-4), where a(0) = 1, a(1) = 2, a(2) = 3, a(3) = 4.at n=24A295619
• G.f. A(x) satisfies: A(x) = Product_{k>=1} (1 + x^k*A(x))^k.at n=10A302287