57800

Appears in sequences

• Numbers that are the sum of 2 nonzero squares in exactly 5 ways.at n=20A025288
• a(n) = n*(n+1)*(n^2 + 2)/6.at n=24A071239
• Numbers n that are the hypotenuse of exactly 12 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 12 ways.at n=21A097226
• Numbers of the form p^3*q^2*r^2 where p, q, and r are distinct primes.at n=25A179695
• Number of -n..n arrays x(0..3) of 4 elements with zero sum and no two neighbors equal.at n=21A199706
• Number of (w,x,y,z) with all terms in {1,...,n} and |x-y|=|y-z|.at n=34A212679
• Number of 3X3X3 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.at n=28A214541
• Denominators of signed Egyptian fractions with sums converging to the Euler-Mascheroni constant.at n=4A226058
• Number of 4Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=7A240049
• 27-gonal pyramidal numbers: a(n) = n*(n+1)*(25*n-22)/6.at n=24A256647
• Numbers that are the sum of 2 squares in exactly 5 ways.at n=29A294716
• a(n) = Sum_{k=0..floor(n/5)} binomial(n+4,5*k+4) * Catalan(k).at n=14A360047
• Number of chiral pairs of polyominoes composed of n pentagonal cells of the hyperbolic regular tiling with Schläfli symbol {5,oo}.at n=5A369471
• Number of chiral pairs of asymmetric polyominoes with n pentagonal cells of the hyperbolic regular tiling with Schläfli symbol {5,oo}.at n=9A389194