17969

Appears in sequences

• a(n) = ceiling((n^3)/2).at n=33A036486
• Thickened cube numbers: a(n) = n*(n^2 + (n-1)^2) + (n-1)*2*n*(n-1).at n=16A050492
• The sum of all the entries in an n X n Cayley table for multiplication in Z_n.at n=33A160255
• Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+151)^2 = y^2.at n=9A161482
• a(n) = A000041(n) - A032741(n).at n=36A167934
• a(n) = ((2*n+1)^3+(-1)^n)/2.at n=16A175109
• Dispersion of A016873, (5k+4), by antidiagonals.at n=49A191706
• Number of (w,x,y,z) with all terms in {0,...,n} and 2w=floor((x+y+z)/2).at n=32A212747
• The number of orbits of 4-tuples of the dihedral group of order 2n acting on {1,2,...,n}.at n=32A236332
• Number of n X 2 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=24A239844
• Number of different positions in which a square with side length k, 1 <= k <= n - floor(n/3), can be placed within a bi-symmetric triangle of 1 X 1 squares of height n.at n=41A241526
• Number of (n+1)X(n+1) 0..2 arrays with every 2X2 subblock summing to 1 2 3 4 5 6 or 7.at n=1A251365
• Number of (n+1) X (2+1) 0..2 arrays with every 2 X 2 subblock summing to 1, 2, 3, 4, 5, 6, or 7.at n=1A251367
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to 1 2 3 4 5 6 or 7.at n=4A251373
• Numbers n such that n!3 + 3^9 is prime, where n!3 = n!!! is a triple factorial number (A007661).at n=42A265378
• Square array read by descending antidiagonals: T(n,k) = ((2^(n+1) + 1)^(k-1) + 1)/2.at n=24A266577
• Number of partitions of n^3 into at most two parts.at n=33A274324
• Numbers k such that 10^k/8 - 1 is prime.at n=19A296029
• Binary "cubes"; numbers whose binary representation consists of three consecutive identical blocks.at n=16A297405
• Number of partitions of 2n into distinct parts whose bitwise XOR equals 0.at n=53A307506