-752

Appears in sequences

• Expansion of sqrt(1 - 4*x)/(1 - 2*x).at n=7A126966
• Triangular sequence of coefficients of a polynomial recursion for C_n and B_n Cartan matrices: p(x, n) = (-2 + x)*p(x, n - 1) - p(x, n - 2) p(x,n)=x2-4*x+4-m:m=5;(related sequence: A_n:m=1,G_n,m=3,B_n,C_n,m=2) This triangular sequence is an extension to the Cartan pattern of matrices.at n=62A136321
• Row sums of triangle A161363.at n=22A161375
• G.f.: A(q) = exp( Sum_{n>=1} A002129(n) * 2*A006519(n) * q^n/n ).at n=20A161800
• G.f. is Q_0(q) where Q_0(q^4) is a series quadrisection of the g.f. of A161800.at n=5A161801
• Expansion of 1/(1 - 4*x + 7*x^2).at n=7A168175
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max{3i+j-3,i+3j-3} (A204008).at n=20A204011
• Expansion of q * psi(q^8) / phi(q) in powers of q where phi(), psi() are Ramanujan theta functions.at n=13A208605
• Coefficients in asymptotic expansion of sequence A077607.at n=5A260491
• Expansion of phi(-q^2) / phi(-q^3) in powers of q where phi() is a Ramanujan theta function.at n=41A262967
• G.f.: Product_{m>0} (1 - x^m + 2!*x^(2*m) - 3!*x^(3*m) + 4!*x^(4*m)).at n=25A293256
• Partial sums of F(1) - L(1) + F(2) - L(2) + F(3) - L(3) + ..., where F = A000045 and L = A000032.at n=25A355018