75924

Appears in sequences

• a(n) = floor( n*(n-1)*(n-2)*(n-3)/26 ).at n=39A011936
• a(n) = n^2*(n+1)*(2*n+1)/3.at n=17A098077
• a(n) = 5^n - 3^n - 2*n.at n=7A120990
• A121153 \ A005836.at n=18A170830
• G.f. satisfies: A(x) = H(x*A(x)) where H(x) = A(x/H(x)) is the theta series of planar hexagonal lattice A_2 (A004016).at n=6A200378
• Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y>3z.at n=38A212518
• Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 2 array.at n=37A219680
• Number of n X 2 arrays of occupancy after each element moves to some king-move neighbor, with every occupancy equal to zero or two.at n=9A221270
• a(n) is the smallest even k >= 2 such that the first n multiples of k have the same sum of digits, but (n + 1)*k has a different one. a(n) = 0 if no such k exists.at n=25A237994
• Table read by downward antidiagonals: T(n,k) is the number of tilings of the n X k cylinder up to horizontal and vertical reflections by a tile that is fixed under horizontal reflections but not vertical reflections.at n=42A368254