168960

Appears in sequences

• Theta series of P_{12a} packing.at n=7A005952
• Theta series of 20-dimensional lattice R_20 with det 1024 and minimal norm 4.at n=3A007038
• Greatest number in row n of array T given by A027157.at n=13A027168
• Theta series of (putative) extremal 2-modular even lattice in dimension 20.at n=3A034599
• Sum of divisors of those numbers n such that n and n+1 have the same sum of divisors.at n=25A053215
• Smallest Smith number with n prime factors.at n=11A104168
• Highly decomposable Smith numbers. A Smith number which sets a record for the number of prime factors (counting multiplicity) starting from first Smith number is called a highly decomposable Smith number.at n=8A104169
• a(n) = phi(Padovan(n+4)).at n=48A107797
• Triangle of coefficients of (1/sec^2(x))*D^n(sec^2(x)) in powers of t = tan(x), where D = d/dx.at n=38A185896
• 2-quantum transitions in systems of N>=2 spin 1/2 particles, in columns by combination indices.at n=26A213344
• Multi-table menage seating arrangements: T(n,k) for n,k >= 1 equals the number of ways to seat n*k married couples at n round tables with 2*k seats each, such that (i) the gender of persons alternates around each table; and (ii) spouses do not sit next to each other.at n=10A277257
• Number of 3-cycles in the n-halved cube graph.at n=10A290026
• Triangle read by rows: coefficients in the sum of odd powers as expressed by Faulhaber's theorem, T(n, k) for n >= 1, 1 <= k <= n.at n=18A303675
• a(1) = 1; thereafter a(n) = a(n-1) / phi(n) if phi(n) divides a(n-1), otherwise a(n) = a(n-1) * phi(n), where phi is the Euler phi-function A000010.at n=44A326889
• Number of subsets of {1..n} that contain exactly three odd numbers.at n=20A331408
• The number of stones-and-bones tilings of the (3n+1,3n+1)-benzel when one orientation of bone is forbidden.at n=2A364481
• a(n) = n^3 * 2^n * binomial(3*n, n) / 3.at n=4A378781