-321

Appears in sequences

• Spontaneous magnetization coefficients for square lattice spin 3/2 Ising model.at n=30A010105
• Spontaneous magnetization coefficients for square lattice spin 3/2 Ising model.at n=30A030120
• a(1) = 1, a(2n) = a(2n-1) + c(n) and a(2n+1) = a(2n) - p(n), where c(n)=A002808(n) and p(n)=A000040(n) are the n-th composite and n-th prime numbers, respectively.at n=45A073891
• An Alexander sequence for the knot 9_44.at n=8A099458
• Matrix inverse of the Narayana triangle A001263.at n=15A103364
• First column of triangle A103364, which equals the matrix inverse of the Narayana triangle (A001263).at n=5A103365
• First differences of A014292.at n=20A104862
• Sum(mu(i)*sigma(j): i+j=n), with mu=A008683 and sigma=A000203.at n=54A112964
• Coefficients of polynomials B(x,n) = ((1+a+b)*x - c)*B(x,n-1) - a*b*B(x,n-2) where B(x,0) = 1, B(x,1) = x, a=-b, b=1, c=1.at n=49A136531
• Expansion of (1-5x^2-7x^3-2x^4+x^6)/((1-x)(1-x^3)^2).at n=21A141365
• Triangle T(n,k) = (-1)^k * A119258(n,k) read by rows, 0 <= k <= n.at n=33A145661
• E.g.f.: A(x) = Sum_{n>=0} log( Sum_{k=0..n} C(n,k)^2*x^k )^n*x^n/(n!*n^n).at n=4A180654
• The sequence of coefficients of cubic polynomials p(x-n), where p(x) = x^3 - 3*x + 1.at n=31A218332
• Expansion of (1 - 2*x^2)/(1 + x)^3. Second column of Riordan triangle A248156.at n=28A248158
• Triangle read by rows: T(n,k) is the coefficient A_k in the transformation Sum_{k=0..n} x^k = Sum_{k=0..n} A_k*(x+2*(-1)^k)^k.at n=42A249266
• G.f. satisfies: A(x) = A(x^2 - x^3)/(1-x).at n=31A251659
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 145", based on the 5-celled von Neumann neighborhood.at n=9A270289
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 267", based on the 5-celled von Neumann neighborhood.at n=9A271086
• Triangle read by rows of coefficients of polynomials Q_n(x) = 2^(-n)*((x + sqrt(x*(x + 6) - 3) + 1)^n - (x - sqrt(x*(x + 6) - 3) + 1)^n)/sqrt(x*(x + 6) - 3).at n=59A271451
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 371", based on the 5-celled von Neumann neighborhood.at n=11A271457