-354
domain: Z
Appears in sequences
- Logarithm of e.g.f. for primes.at n=5A007447
- Expansion of e.g.f.: cos(log(1+x))/cos(x).at n=6A009025
- Expansion of e.g.f.: cosh(x)*cos(log(1+x)).at n=6A009174
- Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=42A068762
- Expansion of Product_{k>=1} (1 - 2x^k).at n=49A070877
- a(n) is the coefficient of x^n in x/(1 + Sum_{k>=1} (1/2)*(prime(k+1) - 1)*x^k).at n=33A074142
- Expansion of (1-x)/(1-x+2*x^2-x^3).at n=30A078019
- Triangle read by rows: row n gives coefficients of increasing powers of x in characteristic polynomial of the matrix (-1)^n*M_n, where M_n is the tridiagonal matrix defined in the Comments line.at n=22A124037
- Triangle read by rows: matrix inverse of A110877.at n=22A126126
- A129065 with v=n instead of v=1: recursive polynomial coefficient triangle.at n=23A136453
- A triangular sequence of coefficients of the expansion of a Green's function for the radial Morse potential with x being the kinetic energy and t being the radius: Hamiltonian; H=K+V=x+Exp[-2*t]-2*Exp[t];G*Exp[t*x)=Exp[x*t]/(t-H); p(t,x)=Exp[t*x]/(t-x-Exp[-2*t] + 2*Exp[-t]).at n=17A138160
- a(0)=-1, a(1)=0, a(2)=1, a(n) = a(n-1) - 2*a(n-2) + a(n-3).at n=32A141576
- Coefficients of the polynomial from factoring (x^167+1)/(x+1) modulo 2 gives: p(x)=1 + x + x^4 + x^6 + x^8 + x^10 + x^12 + x^13 + x^17 + x^19 + x^23 + x^24 + x^25 + x^26 + x^27 + x^29 + x^31 + x^32 + x^33 + x^35 + x^36 + x^40 + x^42 + x^45 + x^46 + x^47 + x^49 + x^50 + x^52 + x^53 + x^56 + x^59 + x^60 + x^62 + x^64 + x^67 + x^70 + x^71 + x^73 + x^76 + x^78 + x^81 + x^83.at n=46A158032
- Nearest integer to 1 / Sum_{p prime, 2^n < p <= 2^(n+1)} (Kronecker(-1/p)/p).at n=10A166510
- Triangle T(n,k) read by rows. Matrix inverse of A179749.at n=58A179750
- Expansion of e.g.f. arctan(x*exp(x)).at n=6A191719
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202873; by antidiagonals.at n=12A202767
- Expansion of r(q)^3 / r(q^3) in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=23A285628
- The arithmetic function uhat(n,1,8).at n=58A291502
- Expansion of (Product_{k>0} theta_4(q^k)/theta_3(q^k))^(1/2), where theta_3() and theta_4() are the Jacobi theta functions.at n=29A320992