147840

Appears in sequences

• Triangle of coefficients of x^2 in the Neumann polynomials.at n=39A057869
• a(n) = the least positive integer k such that b(k) = n, where b(k) (A076526) is defined by b(k) = r * max{e_1,...,e_r} if k = p_1^e_1 *...* p_r^e_r is the canonical prime factorization of k.at n=34A076745
• Generalized Stirling2 array (6,2).at n=21A091746
• Triangle read by rows: T(n,k) is the number of set partitions of the set {1,2,...,n} (or of any n-set) containing k blocks of size 3 (0<=k<=floor(n/3)).at n=28A124503
• a(n)=2*n!/d(n!); d(m)=A000005(m) is the number of divisors of m.at n=11A125721
• Triangle of coefficients of q in e.g.f. that satisfies: A(x,q) = exp( q*x*A(q*x,q) ), read by rows of [n*(n-1)/2 + 1] terms in row n for n>=0.at n=85A126265
• Products of two or more consecutive numbers that do not have prime gaps in their factorizations.at n=33A137895
• Least number k such that sigma_2(k) >= 2^n.at n=34A141847
• A triangle of infinite sum coefficients with: Limit[Log[1-x],x->0]=-x: p(x,y)=1+n!*x^(n - 1)*Sum[x^k/(k*Binomial[n + k, k]), {k, 1, Infinity}]; such that Log[1-x]->-x.at n=38A157047
• Partial sums of floor(n^3/3).at n=36A173707
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix from A204114, given by gcd(L(i+1), L(j+1)), where L=A000032 (Lucas numbers).at n=27A204115
• 3-quantum transitions in systems of N>=3 spin 1/2 particles, in columns by combination indices.at n=21A213345
• 3-quantum transitions in systems of N>=3 spin 1/2 particles, in columns by combination indices.at n=28A213345
• Number of solutions to x^2 + y^2 + z^2 + t^2 == n (mod 2*n) for x,y,z,t in [0, 2*n).at n=27A229294
• Integer areas A of integer-sided cyclic quadrilaterals such that the circumradius is of prime length.at n=33A230136
• Number of (n+2) X (5+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 2 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 2 3 6 or 7.at n=10A252111
• 29-gonal pyramidal numbers: a(n) = n*(n+1)*(9*n-8)/2.at n=32A256649
• a(n) = n*(n + 1)*(n + 2)*(n^2 - n + 4)/24.at n=19A256859
• Highly composite numbers of class 6 (see comment in A275239).at n=24A275244
• Triangle read by rows: T(n,k) is the number of preimages of the permutation 21345...n under West's stack-sorting map that have k+1 valleys (1 <= k <= floor((n-1)/2)).at n=32A317555