41064

Appears in sequences

• Self-convolution of array T given by A008288.at n=7A026933
• a(n) = ceiling((n + 1/2)^3).at n=33A034131
• Number of partitions of n into parts not of the form 21k, 21k+4 or 21k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=44A035982
• Right- or upward-moving paths connecting opposite corners of an n X n chessboard, visiting the diagonal in 0 up to (n-2) intermediate points between start and finish. Equivalently, subdivide the chessboard into 1 up to (n-1) blocks along the diagonal in all possible ways and sum the path-count over all sub-blocks.at n=6A075436
• Number of compositions (ordered partitions) of n such that some part is repeated consecutively 6 times and no part is repeated consecutively more than 6 times.at n=15A091620
• a(n) = 1728*n - 408.at n=23A157266
• Array read by antidiagonals: T(m,n) = Sum(1<=i<=m) ( n + 2(i-1) )!at n=17A211368
• 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=58A219225
• a(n) = floor(M(g(n-1)+1, ..., g(n))), where M = harmonic mean and g(n) = n^3.at n=34A227012