-2240

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=39A001486
• Bisection of A002470.at n=7A002287
• Glaisher's function W(n).at n=14A002470
• sech(tanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-90/6!*x^6+420/7!*x^7...at n=8A012658
• Expansion of e.g.f. log(cosh(x) + arcsin(x)).at n=8A013186
• Expansion of e.g.f. exp(sin(x)-sinh(x)).at n=9A013369
• Generalized Stirling2 array (-1,2)S2. Irregular triangle a(n, m) for n >= 1 and 2 <= m <= 2*n.at n=10A091752
• Row 3 of array in A288580.at n=8A092397
• Expansion of g.f. (1-x+x^2)/(1+x-x^3).at n=52A104771
• Coefficients of a partition transform for Lagrange inversion of -log(1 - u(.)*t), complementary to A134685 for an e.g.f.at n=23A133932
• Triangular sequence from expansion coefficients of asymptotic Hermite Polynomial from Roman: p(x,t)= (1 + t)^(-x)*Exp[x*(t - t^2/2)].at n=21A137437
• Expansion of chi(-q)^5 / chi(-q^5) in powers of q where chi() is a Ramanujan theta function.at n=15A138521
• Triangle T(n,k) = A053120(n+2,k)-2*A053120(n+1,k)+A053120(n,k) read by rows, 0<=k<n.at n=42A140876
• a(0) = 1, a(1) = 2, a(3) = 3, a(n) = a(n-1) - a(n-3).at n=52A165192
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max(2i-1, 2j-1) (A204022).at n=23A204023
• Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 9/5.at n=27A279781
• Array read by upwards antidiagonals: T(n,k) = Product_{ 0 < |n-k*i| <= n} (n-k*i), with n >= 0, k >= 1.at n=63A288580
• 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=33A292177
• Triangle read by rows: T(0,0)=1; T(n,k) = 2*T(n-1,k)-2*T(n-1,k-1)+T(n-1,k-2), for k = 0, 1, ..., 2*n; T(n,k)=0 for n or k < 0.at n=39A304209
• Triangle read by rows: T(0,0) = 1; T(n,k) = 2*T(n-1,k) - 2*T(n-2,k-1) + T(n-3,k-2) for k = 0..floor(2*n/3); T(n,k)=0 for n or k < 0.at n=33A304213