-326

Appears in sequences

• McKay-Thompson series of class 12I for the Monster group.at n=40A058487
• McKay-Thompson series of class 24c for the Monster group.at n=40A062243
• Expansion of (1-x)^(-1)/(1 + x - x^2 + x^3).at n=11A077902
• Expansion of (1-x)/(1+x+x^2-2*x^3).at n=13A078045
• Expansion of q^(-1) * f(-q^2, -q^5)^2 * f(-q^3, -q^4) / f(-q^1, -q^6)^3 in powers of q where f() is Ramanujan's two-variable theta function.at n=26A108481
• a(0) = 1, a(1) = 2, a(2) = 5; for n >= 3, a(n) = a(n - 1) - 2*a(n - 2) + a(n - 3).at n=18A121311
• Triangle T(n,k) read by rows: the coefficient [x^k] of the polynomial Product_{i=1..n} (i+1)*x-i in row n>=0 and column 0<=k<=n.at n=13A142070
• A triangle of infinite sum coefficients with: Limit[Log[1-x],x->0]=-x: p(x,y)=1+n!*x^(n - 1)*Sum[x^k/(k*Binomial[n + k, k]), {k, 1, Infinity}]; such that Log[1-x]->-x.at n=19A157047
• Coefficient triangle of permutation-based polynomials: p(x,n)=Product[x - n!/(n - i)!, {i, 0, n}].at n=26A158451
• Sequence defined by the recurrence formula a(n+1) = sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=1, k=-2 and l=0.at n=8A177111
• Coefficient array of orthogonal polynomials P(n,x)=(x-2n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-2.at n=11A178120
• Expansion of psi(x)^2 * phi(-x)^6 in powers of x where phi(), psi() are Ramanujan theta functions.at n=22A227695
• Expansion of psi(x^2)^2 * phi(-x^2)^6 + 8 * x * psi(x^2)^6 * phi(-x^2)^2 in powers of x where phi(), psi() are Ramanujan theta functions.at n=44A228072
• Expansion of q^(-1) * f(-q^3, -q^4)^3 / (f(-q^1, -q^6)^2 * f(-q^2, -q^5)) in powers of q where f() is Ramanujan's two-variable theta function.at n=26A246713
• Coefficients of the mock theta function gammabar(q).at n=53A260983
• a(n) = Sum_{k=0..n} (-1)^k*floor(phi^k), where phi is the golden ratio (A001622).at n=13A277752
• G.f.: A(x) = Sum_{n=-oo..+oo} (x - x^n)^n.at n=91A290003
• -1 + Product_{n>=1} (1 + x^n)^a(n) = g.f. of A000040 (prime numbers).at n=23A305871
• First term of n-th difference sequence of (floor(r*k)), r = -(1+sqrt(5))/2, k >= 0.at n=10A325746
• L.g.f.: log( Sum_{k>=0} x^(k^3) ).at n=51A363783