-1760

Appears in sequences

• Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-10).at n=3A004411
• Expansion of Product_{m >= 1} (1 + q^m)^(-2).at n=41A022597
• A triangular sequence from 2^n times the coefficients of characteristic polynomials of a rational tridiagonal matrix type: M(3)= {{1/2,-1,0} {-1,1/2,-m}, {0,-1,1/2}}};m=-1; polynomial recursion associated is: p(x, n) = (1 - 2*x)*p(x, n - 1)/2 - p(x, n - 2);.at n=40A136330
• Triangle T(n,k) = (1-k*(k-1))*A053120(n,k), read by rows, 0<=k<=n.at n=40A137448
• Expansion of 1/((1 +x +x^2)^2 *(1 +x^2 +x^3)^3).at n=26A167177
• Totally multiplicative sequence with a(p) = (p-3)*(p+3) = p^2-9 for prime p.at n=37A167362
• Expansion of q^(-1/4) * eta(q)^8 * eta(q^4)^2 / eta(q^2)^5 in powers of q.at n=41A244276
• Expansion of eta(q)^24 / eta(q^2)^12 in powers of q.at n=3A286346
• Expansion of 1/(Sum_{i>=0} q^(2*i*(i+1))/Product_{j=0..i} (1 + q^(2*j+1) + q^(4*j+2))).at n=44A294600
• Triangle read by rows: T(0,0) = 1; T(n,k) = - T(n-1,k) - 2 T(n-3,k-1) for k = 0..floor(n/3); T(n,k)=0 for n or k < 0.at n=66A317505
• a(1) = 1; a(n) = -Sum_{d|n, d < n} A341512(n/d) * a(d), where A341512(n) = sigma(n)*A003961(n) - n*sigma(A003961(n)).at n=39A347096
• E.g.f. C(x,y) = 1 - Integral S(x,y)*C(y,x) dx such that C(x,y)^2 + S(x,y)^2 = 1 and S(y,x) = Integral C(y,x)*C(x,y) dy, as a triangle of coefficients T(n,k) read by rows.at n=18A367381