33696

Appears in sequences

• a(n) = n^2*(5*n-3)/2.at n=24A006597
• Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=37A033688
• Reverse of largest prime factor of n = smallest prime factor of n+1; a(1)=1.at n=25A071393
• Array of coefficients of characteristic polynomials of M_n, the n X n matrix with entries m_(i,j) = i mod j.at n=53A078924
• G.f.: cube root of theta series of E*_6 lattice (cf. A005129).at n=7A109144
• Natural numbers that can be factored into the product of three positive integers whose minimal sum is achieved in more than one way.at n=33A112536
• Dimension of 3-variable non-commutative harmonics (Hausdorff derivative). The dimension of the space of non-commutative polynomials in 3 variables which are killed by all symmetric differential operators (where for a monomial w, d_{xi} ( w ) = sum over all subwords of w deleting xi once).at n=10A122392
• Records in A000118.at n=42A128690
• Triangle read by rows in which row n lists n+1 terms, starting with n^5 and ending with n^6, such that the difference between successive terms is equal to n^5 - n^4.at n=25A163285
• Numbers with prime factorization pq^4r^5.at n=5A190468
• Kochański's (or Kochanski's) sequence.at n=4A191642
• (n-1)-st elementary symmetric function of the first n terms of (3,1,2,3,1,2,3,1,2,...).at n=13A203161
• Number of 2 X 2 matrices having all terms in {1,...,n} and odd determinant.at n=16A211065
• Numbers that can be obtained by inserting multiplication signs among the digits of their squares.at n=2A217247
• Area A of the cyclic quadrilaterals PQRS with PQ>=QR>=RS>=SP, such that A, the sides, the radius of the circumcircle and the two diagonals are integers.at n=50A219225
• Number of subsets of {1,2,...,n-9} without differences equal to 3, 6 or 9.at n=38A224814
• Number of nX7 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero.at n=2A231048
• T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero.at n=38A231049
• Number of 3Xn 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero.at n=6A231051
• a(n) = Sum_{0 < x,y,z <= n and gcd(x^2 + y^2 + z^2, n)=1} gcd(x^2 + y^2 + z^2 - 1, n).at n=25A239612