32002

Appears in sequences

• a(0) = 1, a(n) = 20*n^2 + 2 for n>0.at n=40A010010
• Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 4).at n=51A035541
• Catafusenes (see reference for precise definition).at n=10A044047
• (1/4)*number of non-degenerate isosceles triangles that can be formed from the points of an (n+1)X(n+1)X(n+1) lattice cube.at n=4A103500
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 0, -1), (1, 0, 0), (1, 0, 1)}.at n=8A150424
• Growth series for affine Coxeter group (or affine Weyl group) D_5.at n=20A266760
• Consider all the Pythagorean triangles with perimeter A010814(n). Then a(n) is the sum of the areas of the squares on all of their sides.at n=25A334808