21697

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 99.at n=17A020438
• 288*n^2 - 168*n - 119.at n=8A118059
• Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k base pyramids.at n=45A129165
• Number of skew Dyck paths of semilength n with no base pyramids.at n=9A129166
• Number of arrays of the median of three adjacent elements of some length-6 0..n array.at n=11A228741
• Number of (n+1)X(n+1) 0..2 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2X2 subblock.at n=2A235894
• Number of (n+1) X (3+1) 0..2 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2 X 2 subblock.at n=2A235897
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2X2 subblock.at n=12A235902
• a(n) = [x^n] theta_3(x)^n/(1 - x), where theta_3() is the Jacobi theta function.at n=8A302860
• Number of lattice paths from (0,0) to (n,n) using Euclid's orchard as a step-set.at n=10A308087
• Number of integer solutions to (x_1)^2 + (x_2)^2 + ... + (x_8)^2 <= n.at n=8A341397
• a(n) is the smallest number which can be represented as the sum of n distinct nonzero n-gonal numbers in exactly n ways, or 0 if no such number exists.at n=15A350405
• a(n) is the maximum integer for which some minimum-length sum equaling a(n) of perfect squares less than n^2 excludes (n-1)^2.at n=28A377084