-700

Appears in sequences

• Expansion of cos(log(1+x)/cos(x)).at n=6A009032
• a(n) = binomial(2*n, n)^2 / (1-2*n).at n=4A010370
• E.g.f.: cosh(exp(x)-sec(x))=1+1/2!*x^2+5/4!*x^4-20/5!*x^5+37/6!*x^6...at n=7A013337
• Triangle read by rows: T(n,k) is the coefficient of x^k (0<=k<=n) in the monic characteristic polynomial of the n X n matrix with 3's on the diagonal and 1's elsewhere (n>=1). Row 0 consists of the single term 1.at n=32A103247
• Expansion of (1 - x + x^2)*(1 + x + x^2 - x^3 + 2*x^4)/((1 - x)*(1 + x)^2*(1 + x^2)*(1 + x - x^2 + x^3)).at n=9A104237
• a(n) = A112260(n+1) - A112260(n).at n=9A112261
• Generalized Pascal's triangle made using Mod[(Prime[n] - 1)/2, 4] == 2 primorial-like Stirling polynomials.at n=43A119724
• Expansion of 1/(1+2*x*c(x)), c(x) the g.f. of Catalan numbers A000108.at n=9A126984
• Triangle, T(n, k) = (1/2)*(n+2)! * [x^k]( p(x, n) ), where p(x,0) = 1, p(x,1) = -x, P(x, n) = (1/(n+1))*( (2*n-x)*P(x, n-1) - n*P(x, n-2) ), read by rows.at n=43A136532
• Define E(n) = Sum_{k >= 0} (-1)^floor(k/3)*k^n/k! for n = 0,1,2,... . Then E(n) is an integral linear combination of E(0), E(1) and E(2). This sequence lists the coefficients of E(0).at n=8A143628
• Triangle of 3-restricted Stirling numbers of the first kind (T(n,k), 0 <= k <= n), read by rows.at n=32A144633
• Triangle of 3-restricted Stirling numbers of the first kind (T(n,k), 1 <= k <= n), read by rows.at n=24A144634
• Column 4 of triangle in A144633.at n=7A144639
• Coefficients of polynomials (in descending powers of x) P(n,x) := -1 + P(n-1,x)^2, where P(1,x) = x - 1.at n=26A158984
• Coefficients of polynomials Q(n,x):=-2+(1+Q(n-1,x))^2, where Q(1,x)=x-2.at n=27A158986
• G.f.: q-Cosh(x,q)^2 - q-Sinh(x,q)^2 at q=-x.at n=55A198199
• Coefficient array for the monic X_1-Laguerre polynomials with parameter k=1.at n=24A199580
• a(n) = Pell(n)*A109064(n) for n >= 1 with a(0)=1.at n=6A205884
• Expansion of the unique normalized cusp form of Gamma_0(5) of weight 6 in powers of q.at n=19A226347
• Expansion of phi(q^9) / phi(q) in powers of q where phi() is a Ramanujan theta function.at n=13A261988