45563

Appears in sequences

• Thickened cube numbers: a(n) = n*(n^2 + (n-1)^2) + (n-1)*2*n*(n-1).at n=22A050492
• a(n) = ((2*n+1)^3+(-1)^n)/2.at n=22A175109
• Truncated dodecahedron, and truncated icosahedron with faces of centered polygons.at n=11A193248
• The number of orbits of 4-tuples of the dihedral group of order 2n acting on {1,2,...,n}.at n=44A236332
• Subrecords in A048673: maximum value between two consecutive records in A048673.at n=17A247284
• Number of Dyck paths of semilength n with distinct peak heights.at n=14A281874