153636

Appears in sequences

• Polynomial triangle sequence of coefficients: p(x,n)=-((x - 1)^(2*n + 1)/x^n)*Sum[(k + 1)^n*Binomial[k, n]*x^k, {k, 0, Infinity}]. q(x,n)=(p(x,n)+x^n*p(1/x,n))/2.at n=17A155164
• Polynomial triangle sequence of coefficients: p(x,n)=-((x - 1)^(2*n + 1)/x^n)*Sum[(k + 1)^n*Binomial[k, n]*x^k, {k, 0, Infinity}]. q(x,n)=(p(x,n)+x^n*p(1/x,n))/2.at n=20A155164
• a(n) = 196*n^2 - n.at n=27A158003
• a(n) = 784*n^2 - 2*n.at n=13A158398
• a(n) = 784*n^2 - 28.at n=13A158657
• Generating function f(x)=(x+(x+(x+(x+(x+...)^5)^4)^3)^2)^1 is the limit as n->infinity of (f_1(x)=x, f_2(x)=x+x^2, f_3(x)=x+(x+x^3)^2, f_4(x)=x+(x+(x+x^4)^3)^2, ...).at n=32A276436