54720

Appears in sequences

• E.g.f. 1/(1-2x-x^4).at n=6A052667
• Coefficients in expansion of Eisenstein series -q*E'_2.at n=37A076835
• a(n) = (5*n+1)*(5*n+3)*(5*n+5).at n=7A079610
• a(n) = 169*n^2 - 2*n.at n=17A158218
• Number of reduced words of length n in Coxeter group on 10 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.at n=5A162756
• a(n) is the number of solutions of the congruence Sum_{k=1..n} x_k == n (mod 2n) where x_k are distinct elements of the set {0,1,...,2n}.at n=5A174668
• Numbers with prime factorization pqr^2s^6.at n=9A190474
• Number of non-congruent solutions to x^2 + y^2 + z^2 + t^2 == 1 (mod n).at n=37A208895
• Number of ordered pairs of permutation functions (f,g) on n elements satisfying f(x) = f(g(g(x))).at n=6A239840
• Number of (n+1) X (4+1) arrays of permutations of 0..n*5+4 with each element having directed index change 0,0 0,2 1,0 or -1,-2.at n=4A264360
• T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 0,2 1,0 or -1,-2.at n=32A264364
• Number of (5+1) X (n+1) arrays of permutations of 0..n*6+5 with each element having directed index change 0,0 0,2 1,0 or -1,-2.at n=3A264369
• Number of binary heaps on [n] that give a heap when the first element is removed.at n=12A273754
• (1/6) times the sum of the elements of all subsets of [n] whose sum is divisible by six.at n=15A309298
• a(n) = n*(n + 2)*(n + 4).at n=36A370912