164836
domain: N
Appears in sequences
- Sum of first n cubes; or n-th triangular number squared.at n=28A000537
- Squares of even triangular numbers.at n=13A014738
- a(n) = (11*n + 10)^2.at n=36A017510
- a(n) = Sum_{k=1..n, gcd(n,k) = 1} k^3.at n=28A053819
- Braided power sequence: A065692 is b(n+1) = 3*b(n) + 2*d(n) - c(n), this is c(n+1) = 3*c(n) + 2*b(n) - d(n) and A065694 is d(n+1) = 3*d(n) + 2*c(n) - b(n), starting with b(0) = 0, c(0) = 1 and d(0) = 2.at n=9A065693
- Squares obtained as a concatenation of k and 10's complement of k.at n=3A084004
- Smallest square divisible by the n-th triangular number (n(n+1)/2).at n=27A085037
- A104315(n)^2.at n=15A104316
- Pyramidal 47-gonal numbers.at n=27A130566
- a(n) = (29*n)^2.at n=14A133496
- Squares of the form p1 - 1 where p1 is a lower twin prime.at n=15A145823
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 1, 0), (1, 1, 0), (1, 1, 1)}.at n=8A151237
- Perfect squares that are a product of two triangular numbers.at n=34A169835
- 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=13A207170
- 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=34A224809
- Number of (1+1) X (n+1) 0..1 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to one.at n=14A231998
- Expansion of ( 1-x^3-x^2 ) / ( (x^3-x^2-1)*(x^3+2*x^2+x-1) ).at n=17A233247
- 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=25A250813
- Sum of the cubes of the parts in the partitions of n into two parts.at n=28A294270
- Sum of the cubes of the parts in the partitions of n into two distinct parts.at n=28A294287