960960

Appears in sequences

• a(n) = 7*(n+1)*binomial(n+5,7).at n=9A027812
• Triangle read by rows. A generalization of unsigned Lah numbers, called L[4,1].at n=41A048854
• Maximal degree of an irreducible representation of the group of n X n signed permutation matrices.at n=12A066051
• Numbers with exactly 6 distinct prime divisors {2,3,5,7,11,13}.at n=26A147573
• Product{k|n} k$. Here '$' denotes the swinging factorial function (A056040).at n=14A163087
• Members of A025487 whose prime signature is self-conjugate (as a partition).at n=14A181825
• 3-quantum transitions in systems of N>=3 spin 1/2 particles, in columns by combination indices.at n=33A213345
• 8-quantum transitions in systems of N >= 8 spin 1/2 particles, in columns by combination indices.at n=17A213350
• Smallest number k such that the symmetric representation of sigma(k) has at least one part of width n.at n=23A250070
• Highly composite numbers of class 3 (see comment in A275239).at n=30A275241
• a(0) = 1; a(n) = 2^(n-1)*prime(n)#, where prime(n)# is the product of first n primes.at n=6A303557
• G.f. A(x,y) satisfies: A(x,y) + A(1/x,y) = Sum_{m>=0} (x^m + y + 1/x^m)^m, ignoring the infinite constant term; this is the triangle, read by rows, of coefficients T(n,k) of x^n*y^k in A(x,y) for n >= 1, k = 0..n-1.at n=123A316590
• Integer areas of integer-sided triangles where the lengths of two of the sides are cubes.at n=10A329536
• Numbers in A037019 that are not the same as the corresponding number in A005179.at n=19A347828
• a(n) is the smallest even number k whose symmetric representation of sigma(k) has maximum width n.at n=23A347979
• Numbers k where 3k sets a record for the number of divisors of multiples of 3.at n=39A351623
• Positions of records in A227872, i.e., integers whose number of odious divisors sets a new record.at n=33A355969
• Triangle read by rows: T(n, k) = 3^n*Sum_{j=0..k} (-1)^(k - j)*binomial(k, j) * Pochhammer(j/3, n).at n=32A371076
• Numbers that set records in A376567.at n=28A378630
• Numbers that set records in A377071.at n=24A378631