106470

Appears in sequences

• Stirling numbers of the second kind S(n+3, n).at n=12A001297
• Expansion of g.f. x*(1 + x)*(1 + 6*x + x^2)/(1 - x)^7.at n=12A006858
• Stirling numbers of second kind S2(15,n).at n=11A011564
• Number of 2n-bead balanced binary strings of fundamental period 2n, rotationally equivalent to reversed complement.at n=13A045664
• Number of humps in all Motzkin paths of length n. (A hump is an upstep followed by 0 or more flatsteps followed by a downstep.)at n=13A097861
• Number of 6-element subsets of {1, 2, ..., n} having pairwise coprime elements.at n=32A186982
• Expansion of (1/2)*(1/(x+1)+1/(sqrt(-3*x^2-2*x+1))).at n=13A246437
• a(n) is the number of rooted forests on n nodes that avoid the patterns 321, 2143, and 3142.at n=7A318618
• a(n) = n * sigma_2(n).at n=44A328259
• a(n) = Sum_{k=1..n} k * lcm(k,n).at n=25A344508
• G.f. A(x) satisfies: A(x) = x + x^3 * exp(A(x) - A(x^2)/2 + A(x^3)/3 - A(x^4)/4 + ...).at n=35A346031
• a(n) = [x^n] Product_{k=1..4*n} 1/(1 - k*x).at n=3A383882