-3072

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=18A001486
• Generalized Stirling number triangle of the first kind.at n=6A051187
• McKay-Thompson series of class 10B for the Monster group with a(0) = 0.at n=17A058098
• Expansion of 1/(1+2*x+2*x^2+2*x^3).at n=19A077993
• Expansion of (1+x)/(1 - 2*x + 2*x^2).at n=21A090131
• G.f. defined as the limit: A(x) = lim_{n->oo} F(n)^(1/4^(n-1)) where F(n) is the n-th iteration of: F(0) = 1, F(n) = F(n-1)^4 + (4x)^((4^n-1)/3) for n >= 1.at n=6A101193
• Matrix log of triangle A111835, which shifts columns left and up under matrix 8th power; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=18A111838
• McKay-Thompson series of class 8c for the Monster group.at n=11A112145
• Expansion of elliptic modular function lambda in powers of the nome q.at n=3A115977
• Triangle T(n, k) = k^4 - n^4 + 2*k*n*(1 - k^2*n^2), read by rows.at n=29A123963
• Expansion of q^(-1) * (chi(-q) * chi(-q^9) / chi(-q^3)^2)^6 in powers of q where chi() is a Ramanujan theta function.at n=15A128512
• McKay-Thompson series of class 10B for the Monster group with a(0) = -4.at n=17A132040
• a(n) = b(n+1)-2b(n) where b() is A134812.at n=22A134813
• a(n)=-4a(n-4).at n=22A137329
• a(n) = 2a(n-1)-2a(n-2), with a(0)=3 and a(1)=2.at n=20A137445
• a(0) = 0, a(1) = 1, a(2) = 3, a(3) = 2; thereafter a(n) = -4*a(n-4).at n=22A138377
• A triangular sequence based on second integer differential using columns n and rows m, in the ChebyshevT T(n,m): d20(n,m)=T(n+2,m)-2*T(n+1,m)+T(n,m); d02(n,m)=T(n,m+2)-2*T(n,m+1)+T(n,m); D2(n,m)=d20(n,m)+d02(n,m).at n=35A140877
• Triangle: q=3; m=2; t(n,k)=If[m == 0, n!, Product[Sum[(-1)^i*StirlingS2[ k - 1, i]*(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; b(n,k,m)=If[n == 0, 1, t[n, m]/(t[k, m]*t[n - k, m])].at n=46A156594
• Coefficients of powers of two Hadamard characteristic polynomials: M(n)=Hadamard[2^n] except for 12.at n=12A158234
• a(0)=1. a(n) = 2^(n-2)*(5-n), for n>0.at n=11A172160