105896

Appears in sequences

• Number of nonisomorphic partial functional graphs with n points which are not functional graphs.at n=12A127911
• First differences (A131771) equal this sequence with terms repeated at positions: {m*(m+1)/2, m>=0}.at n=33A131770
• First differences (A131772) equal this sequence with zeros inserted at positions {m*(m+1)/2, m>=0}.at n=40A131771
• Partial sums (A131771) equal this sequence excluding zeros located at positions {m*(m+1)/2, m>=0}, with a(0)=1.at n=48A131772
• G.f.: exp( Sum_{n>=1} (sigma(2*n) - sigma(n))*Lucas(n)*x^n/n ), where Lucas(n) = A000204(n) and sigma(n) = A000203(n) is the sum of divisors of n.at n=12A225524
• E.g.f. satisfies log(A(x)) = x^2*A(x)^2 * (exp(x*A(x)) - 1).at n=8A371145