-534

Appears in sequences

• Magnetization for honeycomb lattice.at n=8A007206
• Expansion of e.g.f.: sech(tan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+45/4!*x^4-300/5!*x^5...at n=6A012935
• cos(sinh(x)+arctan(x))=1-4/2!*x^2+24/4!*x^4-534/6!*x^6+27272/8!*x^8...at n=3A013061
• Expansion of (1-x)^(-1)/(1+x^2-2*x^3).at n=22A077887
• G.f. is 1/F, where x*F is g.f. for Fibonacci word (A003849).at n=51A080845
• Sum_{i=0..n} Sum_{j=0..i} a(j) * a(i-j) = (-3)^n.at n=7A085455
• Inverse of a Delannoy related triangle.at n=51A113141
• A triangle of coefficients of polynomials with roots as the Pi-digits base ten A000796(n)=d(n):d(1)=3; p(x,n)=-d(1)*Product[x-d(m),{m,2,n}].at n=25A152575
• Triangle, read by rows, T(n,k) = f(n,k) - f(n,0) + 1, where f(n,k) = Sum_{j=0..k} (n+k)!/((n-j)!*(k-j)!*j!) + Sum_{j=0..n-k} (2*n-k)!/((n-j)!*(n - k-j)!*j!).at n=7A176082
• Triangle, read by rows, T(n,k) = f(n,k) - f(n,0) + 1, where f(n,k) = Sum_{j=0..k} (n+k)!/((n-j)!*(k-j)!*j!) + Sum_{j=0..n-k} (2*n-k)!/((n-j)!*(n - k-j)!*j!).at n=8A176082
• Inverse Euler transform of the unsigned Moebius function A008966.at n=42A320782
• G.f. A(x) = Sum_{n>=0} a(n)*x^n satisfies: 0 = [x^n] Sum_{m=0..n} A(x)^(m^2) / m!, for n > 1.at n=5A350410
• a(1) = 1; a(n) = Sum_{k=2..n} (-1)^k * k * a(floor(n/k)).at n=57A359479
• Infinite triangle T(n, k), n, k >= 0, read and filled by rows the greedy way with distinct integers such that for any n, k >= 0, T(n, k) + T(n+1, k) + T(n+1, k+1) = 0; each term is minimal in absolute value and in case of a tie, preference is given to the positive value.at n=52A361442
• Site percolation series for triangular lattice: coefficients of the power series expansion in powers of q=1-p of the probability that a given open site belongs to the infinite cluster, where p is the probability that a site is open.at n=14A391391