54600

Appears in sequences

• Triangle read by rows, the inverse Bell transform of n!*binomial(4,n) (without column 0).at n=24A011801
• a(n) = floor(n*(n-1)*(n-2)*(n-3)/9).at n=28A011919
• a(n) = 2*(n+1)*binomial(n+2,4).at n=12A027777
• a(n) = 13*(n+1)*binomial(n+2,13)/2.at n=3A027786
• Number of nonnegative solutions of x1^2 + x2^2 + ... + x10^2 = n.at n=28A045852
• Number of labeled pure 2-complexes on n nodes (0-simplexes) with 5 2-simplexes and 9 1-simplexes.at n=5A054558
• Triangle of number of labeled rooted trees with n nodes and k leaves, n >= 1, 1 <= k <= n.at n=23A055302
• Number of labeled rooted trees with n nodes and 3 leaves.at n=3A055304
• Exponential transform of Stirling2 triangle A008277.at n=32A055896
• Infinitary harmonic numbers: harmonic mean of infinitary divisors is an integer.at n=17A063947
• Numbers n such that sigma(n)^2 > 9*sigma_2(n) where sigma_2(n) is the sum of squares over the divisors of n.at n=31A068378
• Replace all prime factors p of n with n-p.at n=41A072194
• Numbers that can be expressed as the difference of the squares of primes in exactly seven distinct ways.at n=14A092003
• a(n) = binomial(n+3,3)*binomial(n+8,3).at n=7A104677
• a(n) = C(4+2*n,4+n)*C(9+2*n,0+n).at n=3A114252
• Composite numbers such that the square root of the sum of squares of their prime factors is a prime.at n=22A134607
• Let g be a permutation of [1..n] having say j_i cycles of length i, with Sum_i i*j_i = n; sequence gives Sum_g Sum_{i even} (j_i)^2.at n=7A151883
• Symmetrical Hahn weights on q-form factorials:m=2;q=3; q-form:t(n,m)=If[m == 0, n!, Product[Sum[(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; Hahn weight:b(n,k,m)=If[n == 0, 1, (n!*t[m + 1, k]*t[m + 1, n - k])/(k!*(n - k)!*t[1, n])].at n=18A157321
• Symmetrical Hahn weights on q-form factorials:m=2;q=3; q-form:t(n,m)=If[m == 0, n!, Product[Sum[(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; Hahn weight:b(n,k,m)=If[n == 0, 1, (n!*t[m + 1, k]*t[m + 1, n - k])/(k!*(n - k)!*t[1, n])].at n=17A157321
• a(2*n) = (n+1)*a(n), a(2*n+1) = (n+1)*a(n+1), with a(1) = 1.at n=48A171609