25038

Appears in sequences

• Number of 5-tuples of different integers from [ 1,n ] with no common factors among pairs.at n=38A015698
• Let M denote the 6 X 6 matrix with rows /1,1,1,1,1,1/1,1,1,1,1,0/1,1,1,1,0,0/1,1,1,0,0,0/1,1,0,0,0,0/1,0,0,0,0,0/ and A(n) the vector (x(n),y(n),z(n),t(n),u(n),v(n)) = M^n*A where A is the vector (1,1,1,1,1,1); then a(n) = y(n).at n=7A069007
• 13 times pentagonal numbers: a(n) = 13*n*(3*n-1)/2.at n=36A153793
• A generalized recursion triangle sequence : m=1; t(n,k)=(k + m - 1)*t(n - 1, k, m) + (m*n - k + 1 - m)*t(n - 1, k - 1, m).at n=48A156184
• A generalized recursion triangle sequence : m=1; t(n,k)=(k + m - 1)*t(n - 1, k, m) + (m*n - k + 1 - m)*t(n - 1, k - 1, m).at n=51A156184
• a(n)^3 ends in n^3.at n=38A167178
• Number of 0..3 arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors or less than both neighbors.at n=7A200866
• Number of n X 1 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 n X 1 array.at n=10A218051
• Numbers of espalier polycubes of a given volume in dimension 5.at n=24A229925
• The smallest of 3 consecutive integers such that the first is divisible by the square of a prime, the second is divisible by the cube of a prime, and the third is divisible by the fourth power of a prime.at n=15A349952
• Smallest integer that is the sum of a prime and the square of a prime in n or more ways.at n=25A381333
• Smallest integer that is the sum of a prime and the square of a prime in n or more ways.at n=26A381333
• Smallest integer that is the sum of a prime and the square of a prime in n or more ways.at n=27A381333
• Smallest integer that is the sum of a prime and the square of a prime in exactly n ways.at n=27A381334