-186

Appears in sequences

• Let F(x) = 1 + 1*x + 4*x^2 + 10*x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} (1 - x^n)^a(n).at n=15A037452
• McKay-Thompson series of class 10c for Monster.at n=21A058204
• a(n) = -(n + 1)*(2*n^2 + n - 12)/6.at n=8A058372
• McKay-Thompson series of class 22B for Monster.at n=23A058568
• Generalized Catalan numbers C(-1; n).at n=8A064310
• Triangle composed of generalized Catalan numbers.at n=46A064334
• Expansion of (1-x)/(1-x+2*x^2).at n=17A078020
• A Chebyshev transform of the Padovan-Jacobsthal numbers.at n=15A099492
• McKay-Thompson series of class 24j for the Monster group.at n=61A112167
• McKay-Thompson series of class 36h for the Monster group.at n=52A112177
• McKay-Thompson series of class 44b for the Monster group.at n=53A112184
• Analog of A113869 for three generators.at n=7A114038
• Column 0 of the matrix log of triangle A117401, after term in row n is multiplied by n: a(n) = n*[log(A117401)](n,0), where A117401(n,k) = 2^(k*(n-k)).at n=6A118197
• Expansion of 1/(1+x*c(x)), c(x) the g.f. of Catalan numbers A000108.at n=8A126983
• Triangle T(n,k), 0<=k<=n, read by rows given by :[ -1,1,1,1,1,1,1,...] DELTA [1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.at n=36A127543
• E.g.f.: A(x) = Product_{n>=0} { exp(x)*[Sum_{k=0..n} (-x)^k/k! ] }.at n=6A129483
• McKay-Thompson series of class 22B for the Monster group with a(0) = -2.at n=23A132320
• Expansion of (phi(-q) / phi(-q^2))^3 * phi(q^3)^5 / phi(-q^6) in powers of q where phi() is a Ramanujan theta function.at n=25A134078
• Expansion of chi(-x)^2 * chi(-x^2) in powers of x where chi() is a Ramanujan theta function.at n=45A143161
• Result of using the positive integers 1,2,3,... as coefficients in an infinite polynomial series in x and then expressing this series as Product_{k>=1} (1+a(k)x^k).at n=21A147654