354025

Appears in sequences

• Sum of first n cubes; or n-th triangular number squared.at n=34A000537
• Squares of odd triangular numbers.at n=17A014736
• Smallest square divisible by the n-th triangular number (n(n+1)/2).at n=33A085037
• Number of 2 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=14A207170
• Number of 4 X n 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.at n=11A207950
• Number of permutations (p(1), p(2), ..., p(n)) satisfying -k <= p(i)-i <= r and p(i)-i not in the set I, i=1..n, with k=2, r=4, I={-1,1,2,3}.at n=36A224809
• Expansion of ( 1-x^3-x^2 ) / ( (x^3-x^2-1)*(x^3+2*x^2+x-1) ).at n=18A233247
• Number of (1+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=31A250813
• Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,0 0,2 1,0 or -1,-2.at n=7A264359
• Number of (1+1) X (n+1) arrays of permutations of 0..n*2+1 with each element having directed index change 0,0 0,2 1,0 or -1,-2.at n=16A264365
• Least sum s of consecutive prime numbers starting with prime(n) such that s is a perfect square.at n=8A287027
• Sum of the cubes of the parts in the partitions of n into two parts.at n=34A294270
• Sum of the cubes of the parts in the partitions of n into two distinct parts.at n=34A294287
• Number of nX5 0..1 arrays with every element unequal to 0, 1 or 5 king-move adjacent elements, with upper left element zero.at n=15A303716
• Numbers that have exactly 8 representations as a k-gonal number, P(m,k) = m*((k-2)*m - (k-4))/2, k and m >= 3.at n=16A321158
• Numbers k such that (65*k)^2 can be represented in exactly 4 ways as the sum of a positive square and a positive fourth power.at n=10A346594
• a(n) is the smallest abelian order with precisely 2^n groups.at n=3A350341
• Odd squares k for which A379113(k) > 1, i.e., k that have a proper unitary divisor d > 1 such that A048720(A065621(sigma(d)),sigma(k/d)) is equal to sigma(k).at n=9A379121