52248

Appears in sequences

• Theta series of D_7 lattice.at n=13A008429
• Number of ways of writing n as a sum of 7 squares.at n=26A008451
• a(n) = floor(sqrt(a(n-1)^2 + a(n-2)^2)), a(1)=100, a(2)=300.at n=23A104908
• Triangle read by rows: T(n,k) is the number of hill-free Schroeder paths of length 2n that have k weak ascents (1<=k<=n-1 for n>=2; k=1 for n=1). A Schroeder path of length 2n is a lattice path from (0,0) to (2n,0) consisting of U=(1,1), D=(1,-1) and H=(2,0) steps and never going below the x-axis. A hill is a peak at height 1. A weak ascent in a Schroeder path is a maximal sequence of consecutive U and H steps.at n=47A114691
• a(n) = 1728*n - 1320.at n=30A157263
• p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - 2 S - 2 S^2.at n=8A291383
• First component A of the pairs (A, B), listed in increasing order, such that the multiset of digits of A union the multiset of digits of B equals the multiset of digits of A^2 and the multiset of digits of B^2, for some B >= A. Note that terms may be repeated.at n=17A389379