-424

Appears in sequences

• McKay-Thompson series of class 27d for Monster.at n=59A058604
• McKay-Thompson series of class 30A for Monster.at n=39A058612
• Consider the triangle in which the n-th row starts with n, contains n terms and the difference of successive terms is 1,2,3,... up to n-1. Sequence gives row sums.at n=15A081498
• a(n) = 8/3 - 5*(-2)^n/3.at n=8A083581
• a(n) is the determinant of the 3 X 3 matrix with entries the 9 consecutive primes starting with the n-th prime.at n=8A117330
• Let M be a diagonal matrix with A007442 on the diagonal and P = Pascal's triangle as an infinite lower triangular matrix. Now read the triangle P*M by rows.at n=43A124800
• Coefficients of numerators of rational functions whose binomial transforms give the normalized polylogarithms Li(-n,t)/n!.at n=16A131758
• a(n) = (8-5*4^n)/3.at n=4A165752
• McKay-Thompson series of class 30A for the Monster group with a(0) = -3.at n=39A205826
• E.g.f. A(x)=sum{n>0, a(n)x^(2*n-1)/(2*n-1)!} satisfies A(A(x))=sin(2*x)/2.at n=3A220113
• Numerators of the main diagonal of A225825 difference table, a sequence linked to Bernoulli, Genocchi and Clausen numbers.at n=3A229023
• Triangle read by rows: T(n,k) is the coefficient A_k in the transformation of 1 + x + x^2 + ... + x^n to the polynomial A_k*(x+(-1)^k)^k for 0 <= k <= n.at n=32A248975
• Let f(x) = 1 + Sum_{j>=4} (|mu(j)| - |mu(j-1)|)*x^j, where mu(n) is the Möbius function (A008683). Then a(n) is n times the coefficient of x^n in the expansion of log(f(x)).at n=28A262400
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 158", based on the 5-celled von Neumann neighborhood.at n=38A270336
• Expansion of Product_{k>=1} 1/(1 + x^k)^sigma(k).at n=23A288421
• G.f.: Im((i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).at n=53A292043
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(-k*x)/(1 - x).at n=50A292977
• Triangle T(n,k) read by rows, giving even-numbered coefficients of the matching polynomial of the n-ladder graph.at n=37A308244
• Expansion of Product_{i>=1, j>=1, k>=1} (1 - x^(i*j*k))/(1 + x^(i*j*k)).at n=18A321241
• a(n) = n! * [x^n] 1 / (exp(n*x) - x).at n=4A336969