-518

Appears in sequences

• Derivative of log of A002126.at n=36A023901
• Expansion of (eta(q) * eta(q^5))^4 in powers of q.at n=60A030210
• a(n) = floor(cotangent(n)^3).at n=46A063536
• Triangle, read by rows: T(0,0) = 1, T(n,k) = F(n+1)*T(n-1,k) - T(n-1,k-1) where F(n+1) is the (n+1)st Fibonacci number.at n=16A107416
• McKay-Thompson series of class 36h for the Monster group.at n=67A112177
• Triangular sequence of coefficients of a polynomial recursion for C_n and B_n Cartan matrices: p(x, n) = (-2 + x)*p(x, n - 1) - p(x, n - 2) p(x,n)=x2-4*x+4-m:m=4;(related sequence: A_n:m=1,G_n,m=3,B_n,C_n,m=2) This triangular sequence is an extension to the Cartan pattern of matrices.at n=51A136329
• Triangle read by rows: n-th row is the expansion of the polynomial (x-F1)*(x-F2)*(x-F3)*...*(x-Fn).at n=24A158472
• A triangle of polynomial coefficients:p(x,n)=Sum[(2*k - 1)^n*Binomial[x, k], {k, 0, Infinity}]/2^x.at n=38A176669
• G.f.: exp( Sum_{n>=1} A002129(n^2)*x^n/n ), where A002129(n) is the excess of sum of odd divisors of n over sum of even divisors of n.at n=22A225925
• Triangle read by rows: T(n,k) appears in the transformation Sum_{k=0..n} (k+1)*x^k = Sum_{k=0..n} T(n,k)*(x+2k)^k.at n=11A253381
• G.f.: Sum_{n=-oo..+oo} x^(n^2) / (1 - x^n)^n.at n=42A261605
• Expansion of Product_{k>=1} (1 - x^(2*k-1))^(2*k-1)/(1 - x^(2*k))^(2*k).at n=11A281683
• Expansion of Product_{k>=1} (1 - q^k)^8/(1 - q^(7*k)) in powers of q.at n=14A282942
• Expansion of Product_{k>=1} 1/(1 - mu(k)*x^k), where mu() is the Möbius function (A008683).at n=63A306327
• Square array T(n,k), n >= 1, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=1..n} (-k)^(floor(n/j) - 1).at n=69A345033
• a(n) = Sum_{m=0..n} (-1)^m * ( Sum_{k=0..m} binomial(n,k) )^2.at n=5A348662
• Expansion of e.g.f. 1/(1 - log(2 - exp(x))).at n=7A361494
• a(n) = Sum_{k=1..n} (-1)^k*k^2*floor(n/k).at n=26A366915
• Alternating sum of twin primes (A001097).at n=49A376890
• Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = Sum_{d|n} phi(n/d) * (-k)^(d-1).at n=58A382995