-286

Appears in sequences

• Expansion of e.g.f.: tanh(log(1+tanh(x))).at n=6A009774
• Expansion of (eta(q) / eta(q^7))^4 in powers of q.at n=26A030181
• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^13 in powers of x.at n=3A047638
• McKay-Thompson series of class 7B for the Monster group.at n=26A052240
• Triangle of coefficients of characteristic polynomial of M_n, the n X n matrix M_(i,j) = min(i,j).at n=39A076756
• Expansion of theta_3(q) / theta_3(q^2) in powers of q.at n=18A080015
• Triangle read by rows giving coefficients of the trigonometric expansion of sin(n*x).at n=80A095704
• Expansion of (1-x-2*x^2)/(1-x^2+x^3).at n=25A109248
• Riordan array (1/(1+x)^3,x/(1+x)^2).at n=32A109954
• Inverse of A111526. Row sums have general term C(n,floor(n/2))*(cos(Pi*n/2) + sin(Pi*n/2)).at n=84A111527
• Inverse of twin-prime related triangle A111125.at n=24A113187
• Array of coefficients of polynomials related to integer powers of the generating function of Catalan numbers A000108.at n=75A115139
• Column 1 of triangle A118231.at n=57A118232
• Triangle read by rows. Let g(n) = n if n is a prime, otherwise g(n) = 1. Let p(0) = 1, p(n) = g(n)*p(n-1). Row n gives coefficients of Product_{j=0..n} (x - p(j)), with row 0 = {1}.at n=37A118686
• Triangle read by rows: T(0,0)=1; T(n,k) is the coefficient of x^(n-k) in the monic characteristic polynomial of the n X n matrix (min(i,j)) (i,j=1,2,...,n) (0 <= k <= n, n >= 1).at n=41A123970
• Triangle read by rows: T(0,0)=1; for n>=1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n band matrix with main diagonal 2,3,3,..., subdiagonal -3,-3,-3,..., sub-subdiagonal 1,1,1,... and superdiagonal -1,-1,-1,... (0<=k<=n).at n=24A124019
• Riordan array (1/(1+x), x/(1+x)^2), inverse array is A039599.at n=41A129818
• Irregular triangle read by rows: the n-th row gives the coefficients of Phi(n, 1-x), where Phi(n, x) is the n-th cyclotomic polynomial.at n=61A140815
• Expansion of (1-5x^2-7x^3-2x^4+x^6)/((1-x)(1-x^3)^2).at n=20A141365
• Expansion of q^(1/4) * eta(q) * eta(q^2) * eta(q^5) * eta(q^20) / (eta(q^4) * eta(q^10)^3) in powers of q.at n=72A147701