-627

Appears in sequences

• Expansion of Product_{k>=1} (1 - x^k)^19.at n=3A010825
• Expansion of (1-x)^(-1)/(1+2*x^2+2*x^3).at n=16A077895
• Expansion of (1-x)/(1-x+x^2+x^3).at n=22A078016
• Expansion of reciprocal of Hauptmodul for Gamma_0(18).at n=40A092848
• Lucas and Lehmer numbers with parameters (1 +- sqrt(-7))/2.at n=20A107920
• Sequence is {a(4,n)}, where a(m,n) is defined at sequence A110665.at n=15A110669
• Number triangle T(n,k)=(-1)^(n-k)*(3k+2)*C(3n+1, n-k)/(2n+k+2).at n=24A124821
• Expansion of q^(-1) * (phi(q) / phi(q^9) - 1) / 2 in powers of q^3 where phi() is a Ramanujan theta function.at n=40A128111
• a(n) = 13 + 12*n - n^2.at n=32A136316
• Triangle T(n, k, m) = t(n,m)/( t(k,m) * t(n-k,m) ) with T(n, 0, m) = T(n, n, m) = 1, where t(n, m) = Product_{j=1..n} Product_{i=1..j-1} ( 1 - (m+1)*(2*i-1) ) and m = 3, read by rows.at n=11A156698
• Triangle T(n, k, m) = t(n,m)/( t(k,m) * t(n-k,m) ) with T(n, 0, m) = T(n, n, m) = 1, where t(n, m) = Product_{j=1..n} Product_{i=1..j-1} ( 1 - (m+1)*(2*i-1) ) and m = 3, read by rows.at n=13A156698
• FP4 polynomials related to the o.g.f.s of the columns of the A156925 matrix.at n=5A156933
• Row sums of the Riordan array (1-4x+4x^2, x(1-2x)) (A167431).at n=17A167433
• a(n) = -(n - 4)*(n - 5)*(n - 12)/6.at n=17A167541
• First differences of A169701.at n=57A169702
• a(0)=1, a(1)=1; thereafter a(n) = -a(n-1) - 2*a(n-2).at n=18A169998
• Numerators of coefficient array for minimal polynomials of sin(2*Pi/n). Rising powers of x.at n=114A181872
• Expansion of q^(1/2) * eta(q^2)^2 * eta(q^6)^2 / (eta(q) * eta(q^9)^3) in powers of q.at n=61A182036
• Expansion of eta(q) * eta(q^9) * eta(q^21)^2 / (eta(q^3)^2 * eta(q^7) * eta(q^63)) in powers of q.at n=47A226059
• Expansion of (f(-x^2) / phi(-x^3))^2 in powers of x where phi(), f() are Ramanujan theta functions.at n=20A233034