-183

Appears in sequences

• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 3.at n=48A060022
• McKay-Thompson series of class 18D for the Monster group.at n=58A062242
• McKay-Thompson series of class 36B for the Monster group.at n=58A062244
• a(n) = n*p(n+1)-(n+1)*p(n) = n*d(n)-p(n), where p(n) is the n-th prime and d(n) is the n-th prime-difference, A001223(n).at n=63A062357
• a(n) = 2^phi(n) - Sum_{j=0..n} binomial(phi(n), phi(j)).at n=10A073318
• Partial sums of A073579.at n=37A077039
• Expansion of 1/(1+x+2*x^3).at n=11A077974
• Expansion of e.g.f.: 1/(exp(x) - x).at n=8A089148
• Inverse image of primes 2,3,5,7,... under the map Q defined in A095172.at n=51A095174
• G.f. A(x) satisfies: 4^n - 1 = Sum_{k=0..n} [x^k] A(x)^n and also satisfies: (4+z)^n - (1+z)^n + z^n = Sum_{k=0..n} [x^k](A(x)+z*x)^n for all z, where [x^k] A(x)^n denotes the coefficient of x^k in A(x)^n.at n=7A100228
• Expansion of x^2*(-1+x+x^2)/(-1+x+x^2-x^3+x^5).at n=21A107332
• Sequence is {a(5,n)}, where a(m,n) is defined at sequence A111518.at n=8A111523
• Expansion of c(q^4) / c(q) in powers of q where c() is a cubic AGM theta function.at n=23A123649
• Triangle read by rows: T(0,0)=1; T(n,k) is the coefficient of x^k in the polynomial (-1)^n*p(n,x), where p(n,x) is the characteristic polynomial of the n X n tridiagonal matrix with 3's on the main diagonal and -1's on the super- and subdiagonal (n >= 1; 0 <= k <= n).at n=33A123965
• Duplicate of A123965.at n=33A124025
• Triangle read by rows: T(0, 0) = -1. T(n, k) = [x^k] det(M - x*I), where M is an n X n matrix defined by M(i, j) = (-1)^i if i = j, M(i, j) = -1 if |i-j| = 1, and M(i, j) = 0 otherwise.at n=59A124031
• Triangle, matrix inverse of A124733, companion to A123965.at n=17A126124
• Q(n,6), where Q(m,k) is defined in A127080 and A127137.at n=9A127148
• Coefficient table for sums of squares of Chebyshev's S-Polynomials.at n=41A128495
• Expansion of f(-x^2)^2 * f(x, x^2) / f(-x^3)^3 in powers of x where f(,) is a Ramanujan theta function.at n=29A132179