-236

Appears in sequences

• Expansion of k/(4*q^(1/2)) in powers of q, where k defined by sqrt(k) = theta_2(0, q)/theta_3(0, q).at n=5A001938
• Power series expansion of the Rogers-Ramanujan continued fraction 1+x/(1+x^2/(1+x^3/(1+x^4/(1+...)))).at n=73A003823
• a(n) = floor(Sum_{k=0..n} tan(k)).at n=12A051508
• a(n) = floor(Sum_{k=0..n} tan(k)).at n=13A051508
• a(n) = round(Sum_{k=0..n} tan(k)).at n=12A051509
• Triangle of numerators of coefficients of Faulhaber polynomials used for sums of even powers.at n=18A093558
• Expansion of Im(x/(1 - x - 2*i*x^2)), i=sqrt(-1).at n=12A106202
• Expansion of (1 - x + 2*x^2) / (1 - x^3 + x^4).at n=41A110062
• G.f. A(x) satisfies A(A(A(..(A(x))..))) = B(x) (6th self-COMPOSE of A) such that the coefficients of B(x) consist only of numbers {1,2,3,..,6}, with B(0) = 0.at n=4A112113
• Sum(mu(i)*sigma(j): i+j=n), with mu=A008683 and sigma=A000203.at n=48A112964
• Sum(mu(i)*sigma(j): i+j=n), with mu=A008683 and sigma=A000203.at n=50A112964
• Number triangle T(n,k)=sum{i=0..n, (-1)^(n-i)*C(n,i)*sum{j=0..i-k, C(k,2j)*C(i-k,2j)*2^j}}.at n=51A119331
• Tripartite straight linked graphs as matrices producing polynomials and their triangular sequence: Matrix model (A120658 ): M(n,m,9)={{0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}} This model is straight hyperconnections between 3 generalized K(n) complete graphs.at n=69A123590
• Rounded first term of asymptotic approximation to A003823.at n=73A128664
• Expansion of (phi(x) * psi(-x))^4 in powers of x where phi(), psi() are Ramanujan theta functions.at n=41A134461
• A triangular sequence from 2^n times the coefficients of characteristic polynomials of a rational tridiagonal matrix type: M(3)= {{1/2,-1,0} {-1,1/2,-m}, {0,-1,1/2}}};m=-1; polynomial recursion associated is: p(x, n) = (1 - 2*x)*p(x, n - 1)/2 - p(x, n - 2);.at n=22A136330
• A nonsense sequence.at n=19A143044
• Triangle read by rows: T(n, k) = 2^k - binomial(n, k+1).at n=59A156861
• Triangle T(n, k) = T(n, k-1) + (-1)^k*A060187(n+2,k+1) if k <= floor(n/2), otherwise T(n, n-k), with T(n, 0) = T(n, n) = 1, read by rows.at n=13A225356
• Triangle T(n, k) = T(n, k-1) + (-1)^k*A060187(n+2,k+1) if k <= floor(n/2), otherwise T(n, n-k), with T(n, 0) = T(n, n) = 1, read by rows.at n=11A225356