-531

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=18A037452
• Expansion of g.f. Product_{n>=1} (1-x^n)*(1-x^(5*n))/(1-x^(3*n))^2.at n=35A054274
• Expansion of (1-x)^(-1)/(1-x+2*x^2+x^3).at n=16A077877
• a(2,n) as defined in A003148.at n=3A084543
• McKay-Thompson series of class 44b for the Monster group.at n=67A112184
• Infinite square array read by antidiagonals: Q(m, 0) = 1, Q(m, 1) = 1; Q(m, 2k) = (m - 2k + 1)*Q(m+1, 2k-1) - (2k-1)*Q(m+2,2k-2), m*Q(m, 2k+1) = (m - 2k)*Q(m+1, 2k) - 2k(m+1)*Q(m+2, 2k-1).at n=35A127080
• Define an array by Q(m, 0) = 1, Q(m, 1) = 1; Q(m, 2k) = (m - 2k + 1)*Q(m+1, 2k-1) - (2k-1)*Q(m+2, 2k-2), m*Q(m, 2k+1) = (m - 2k)*Q(m+1, 2k) - 2k(m+1)*Q(m+2, 2k-1). Sequence gives Q(0,n).at n=7A127137
• Poly-Cauchy numbers of the second kind hat c_n^(-4).at n=3A223902
• A weighted count of the number of overpartitions of n with restricted odd differences.at n=29A261035
• Expansion of f(-x^3)^3 / (f(-x^2) * f(-x^4)^2) in powers of x where f() is a Ramanujan theta function.at n=23A262150
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 129", based on the 5-celled von Neumann neighborhood.at n=15A270220
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 278", based on the 5-celled von Neumann neighborhood.at n=27A271098
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 389", based on the 5-celled von Neumann neighborhood.at n=13A271597
• Expansion of (1-q)^k/Product_{j=1..k} (1-q^j) for k=8.at n=29A275642
• Expansion of Sum_{k>0} (1/(1+x^k)^3 - 1).at n=30A363630
• a(n) = A325977(A228058(n)).at n=51A389217