3096576

Appears in sequences

• Theta series of {D_14}^{+} lattice.at n=19A004534
• Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j)*12^j.at n=30A038242
• Products of exactly 18 primes (generalization of semiprimes).at n=24A069279
• Triangle with T(n,k)=n!*(k-1)^k/k! where 1<=k<=n.at n=40A076482
• Binomial transform of decagonal numbers A001107.at n=14A086950
• Number of ways to form k labeled groups, each with a distinct leader, using n people. Triangle T(n,k) = n!*k^(n-k)/(n-k)! for 1 <= k <= n.at n=39A199673
• (n-1)-st elementary symmetric function of the first n terms of (1,2,3,4,1,2,3,4,1,2,3,4,...) = A010883.at n=16A203163
• Total number of triangles in Cayley graph Cay(Z_{2^n}, QR*(2^n)).at n=7A206278
• Triangle read by rows: terms T(n,k) of a binomial decomposition of 2^n-1 as Sum(k=0..n)T(n,k).at n=41A244125
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 395", based on the 5-celled von Neumann neighborhood.at n=24A287986
• G.f. S(x) satisfies C(x)^(1/2) - S(x)^(1/2) = 1 such that C'(x)*S(x)^(1/2) = S'(x)*C(x)^(1/2) = 72*x.at n=6A299854
• Number of subsets of {2...n} containing no element whose prime indices all belong to the subset.at n=25A324739
• A triangle T(n,k) read by rows which can be used to calculate the area of a regular polygon with sides having length 1, provided that the polygon has an odd number of sides.at n=11A343051
• Expansion of e.g.f. arcsin(x)^2/(2*(1 - x)).at n=10A372324
• Main diagonal of A376738: a(n) is the n-th number which is the product of n (possibly non-distinct) primes having the same number of decimal digits.at n=17A376739
• Sum of the number of cells alive after 2 generations of Conway's game of life for initial 1 X n cells taken in all 2^n combinations of alive or dead.at n=18A384694