-5824

Appears in sequences

• G.f.: q^(2*n)* Product_{m=0..n-1} (1-q^(2*m+1))^2.at n=57A097198
• Expansion of g.f. (1+x)^2*(x^2-6*x+1)/(x-1)^4.at n=13A136264
• Triangle read by rows: expansion of p(t) = (1 + t)^x/(1 + (1 + t)^n) with weight factor 2^(n+1)*n!.at n=34A137369
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of min{i-j+1,j-i+1} (A203994).at n=37A203995
• G.f.: Limit_{K->oo} Sum_{n=-oo..+oo} x^(n-K) * (1 - x^n + n*(n+1)/6 * x^(n+K))^n.at n=37A292177
• a(n) = coefficient of x^(2*n) in A(x) such that A(x) = G(x)^2 where G(x) = 1 + Sum_{n>=1} (-1)^n * x^(4*n^2) * (F(x/2)^(2*n) + F(-x/2)^(2*n)), and F(x) is the g.f. of A357787.at n=14A357803
• First term of the n-th differences of the nonsquarefree numbers. Inverse zero-based binomial transform of A013929.at n=14A377049