-324
domain: Z
Appears in sequences
- Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=30A007332
- Glaisher's chi_4(n).at n=17A030212
- Triangle: a(n,k) = A055135(n,k)/C(n,k).at n=62A055136
- McKay-Thompson series of class 18f for the Monster group.at n=25A058544
- n(n+180) is a square.at n=3A067632
- a(n) = (n+1)*(2-n)/2.at n=26A080956
- Alternating partial sums of A000217.at n=35A083392
- Inverse image of primes 2,3,5,7,... under the map Q defined in A095172.at n=57A095174
- G.f. satisfies: A(x) = 1/(1 + x*A(x^6)) and also the continued fraction: 1+x*A(x^7) = [1;1/x,1/x^6,1/x^36,1/x^216,...,1/x^(6^(n-1)),...].at n=37A101916
- G.f.: cube root of theta series of E*_6 lattice (cf. A005129).at n=4A109144
- Row sums of number triangle related to the Jacobsthal numbers.at n=13A110325
- Sequence is {a(3,n)}, where a(m,n) is defined at sequence A110665.at n=24A110668
- Matrix logarithm of triangle A113287.at n=39A113290
- Expansion of b(q) / a(q) in powers of q of cubic AGM theta function.at n=3A115784
- Triangle read by rows: T[n, m] = Sum[m^3 - 3*m^2*k + 3*m*k^2 - k^3, {k, 0, n - 1}] + m^4.at n=58A121721
- Triangle read by rows: T(n,k) = coefficient of x^k in the polynomial p[n,x] defined by p[0,x]=1, p[1,x]=1+x and p[n,x]=(1+x)(2-x)(3-x)...(n-x) for n >= 2 (0 <= k <= n).at n=22A123361
- A007318^24 * A000594.at n=2A128381
- Triangle T(n,k) read by rows: inverse of the matrix PE = exp(P)/exp(1) given in A011971.at n=47A129334
- a(2n+1)=3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2)=3a(2n+1)-3a(2n), a(0)=a(1)=a(2)=1.at n=21A131292
- Triangle, row sums = a signed, shifted version of A000587, the Rao Uppuluri-Carpenter numbers.at n=52A144185