2721600

Appears in sequences

• Numbers k such that sigma(k) - usigma(k) > 3k.at n=12A063875
• Triangle read by rows: n-th row gives expansion of the series for HarmonicNumber(n, -r).at n=52A080779
• Product of the digital sums of n for all the bases 2 to n (a 'digital-sum factorial').at n=12A131384
• Elements n of A141586 with property that A100762(n) = n.at n=28A141758
• Coefficients in expansion of Eisenstein series q*E'_4.at n=9A145094
• Triangle T(n, k, m) = b(n, m)/(b(k, m)*b(n-k, m)), with T(0, k, m) = 1, b(n, k) = Product_{j=1..n} ( Sum_{i=0..j-1} (-1)^(j+i)*(j+1)*(k+1)^i*StirlingS1(j-1, i) ), b(n, 0) = n!, and m = 3, read by rows.at n=37A156764
• Triangle T(n, k, m) = b(n, m)/(b(k, m)*b(n-k, m)), with T(0, k, m) = 1, b(n, k) = Product_{j=1..n} ( Sum_{i=0..j-1} (-1)^(j+i)*(j+1)*(k+1)^i*StirlingS1(j-1, i) ), b(n, 0) = n!, and m = 3, read by rows.at n=43A156764
• Number of permutations of 1..n with the sequence of sums of 8 adjacent elements having exactly 1 maximum.at n=3A179734
• Triangle T(n,m) = coefficient of x^n in expansion of x^m*(x+1)^(m*x^2) = sum(n>=m, T(n,m) x^n*m!/n!).at n=46A202184
• Number of permutations of [2n+6] in which the longest increasing run has length n+6.at n=5A230346
• Triangle read by rows: the triangle in A034855, with the n-th row normalized by dividing it by n.at n=43A235595
• Triangle read by rows: terms T(n,k) of a binomial decomposition of n^n as Sum(k=0..n)T(n,k).at n=39A244121
• Triangle read by rows: T(n, k) = n!*binomial(n + 1, k)/(k + 1)!, 0 <= k <= n.at n=47A247500
• Denominators of coefficients in C(x) where: C(x)^(1/2) - S(x)^(1/2) = 1 such that C'(x)*S(x)^(1/2) = S'(x)*C(x)^(1/2) = 2*x*C(x).at n=7A299431
• Triangle read by rows: A080779 with rows reversed.at n=47A335823
• Numbers k such that k and the next two numbers after k with the same prime signature as k also have the same set of distinct prime divisors as k.at n=20A340303
• Triangle T(m,n) read by rows: the number of homomorphisms of the complete graph on n vertices to the quasi-complete graph on m vertices, m>=3, 3<=n<m.at n=40A360961
• E.g.f. A(x) satisfies A(x) = exp( x^3*A(x)^3 * (1+x*A(x))^3 ).at n=8A387995