81600
domain: N
Appears in sequences
- a(n) = n^2*(n+1)^2*(n+2)/12.at n=15A004302
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^4.at n=40A028628
- a(n) = floor(n/2) * floor((n-1)/2) * floor((n-2)/2) * floor((n-3)/2) * floor((n-4)/2) / 12.at n=34A028725
- Theta series of 10-dimensional lattice (C6 X SU(4,2)):C2 with minimal norm 4.at n=9A029770
- Average theta series of odd unimodular lattices of dimension 10 (multiplied by 5).at n=6A029812
- Related to octo-factorial numbers A045755.at n=3A034996
- Dot product of the squares and the quarter-squares: a(n) = sum(i=1..n, i^2 * floor(i^2/4)).at n=16A060453
- Number of 2 X 2 non-singular integer matrices with entries from {0,...,n}.at n=16A062801
- Trajectory of 318 under the Reverse and Add! operation carried out in base 4, written in base 10.at n=8A075153
- Numbers k such that k and k^2 use only the digits 0, 1, 5, 6 and 8.at n=16A136870
- Numbers with prime factorization pqr^2s^6.at n=14A190474
- Number of (n+2) X 4 binary arrays avoiding patterns 001 and 101 in rows and columns.at n=12A202196
- Non-palindromes whose squares are in A066531.at n=13A206642
- Ordered products of the perimeter and the sides of primitive Pythagorean triangles.at n=2A223857
- Integer areas of the first Neuberg triangles of integer-sided triangles.at n=15A230758
- a(n) = 288*n^2 - 96*n (n>=1).at n=16A305073
- Integers m that satisfy tau(m) + omega(m) = #({phi(x) = m}).at n=34A305656
- Theta series of 10-dimensional integral lattice O_10.at n=18A306434
- Triangle read by rows. Coefficients of the polynomials P(n, x) = 2^(n-2)*(3*n-1)* hypergeometric([-3*n, 1 - n, -n + 4/3], [-n, -n + 1/3], x). T(n, k) = [x^k] P(n, x).at n=19A358091
- Number of edges in a regular 2n-gon when all vertices are connect by straight lines except for the n lines joining diametrically opposite vertices.at n=16A368815