-584

Appears in sequences

• Percolation series for f.c.c. lattice.at n=11A006806
• q-factorial numbers for q=-9.at n=3A015023
• Expansion of (1 + x + x^2)/(1 - x^3 + x^4).at n=49A124750
• Irregular triangle, T(n, k) = [x^k] p(n, x), where p(n, x) = 4*Sum_{j=0..n} A008292(n+1, j) * (x/2)^j * (1-x/2)^(n-j), read by rows.at n=21A147563
• a(n) = n^3-((n-1)^3+(n-2)^3+(n-3)^3).at n=9A147974
• A coefficients of characteristic polynomials of A_n Cartan matrices times their transposes: t(n,m,d)=If[ n == m, 2, If[n == m - 1 || n == m + 1, -1, 0]]. M(d)=t(n,m,d)*Transpose[t(n,m,d)].at n=33A158199
• a(n) = P_n(-1), where P_n(x) is a certain polynomial arising in the enumeration of tatami mat coverings.at n=11A226302
• 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+3*(-1)^k)^k.at n=33A249268
• G.f. A(x) satisfies: 1 = Sum_{n>=0} x^n / (A(x)^2 - x)^(2*n+1) * [ Sum_{k=0..n} C(n,k)^2 * x^k * A(x)^(n-2*k) ]^2.at n=14A258053
• Expansion of f(x^3, x^5) / f(x, x^3) in powers of x where f(, ) is Ramanujan's general theta function.at n=47A258741
• G.f.: A(x,q) = sqrt( Q(x,q) / Q(x,-q) ), where Q(x,q) = Sum_{n=-oo..+oo} (x - q^n)^n.at n=151A292929
• G.f.: 2*q * Product_{n>=1} (1 + q^(2*n))/((1 + q^n)*(1 + q^(2*n-1))*(1 + q^(4*n))) in powers of q.at n=15A293132
• a(n) = Sum_{k=0..n} (-1)^k * binomial(n+2*k+2,n-k) * Catalan(k).at n=19A360058
• Expansion of Sum_{k>0} x^(2*k)/(1+x^k)^4.at n=14A363598
• Alternating sum of twin primes (A001097).at n=55A376890