302621

Appears in sequences

• Odd tetrahedral numbers: a(n) = (4*n+1)*(4*n+2)*(4*n+3)/6.at n=30A015219
• Lexicographically earliest sequence of pairwise coprime tetrahedral numbers.at n=4A076818
• a(n) = Product_{k=1..(n-1)/2} 1 + 4*cos(k*Pi/n)^2 + 16*cos(k*Pi/n)^4 + 64*cos(k*Pi/n)^6 + 256*cos(k*Pi/n)^8.at n=10A152122
• An 8th-degree product form sequence: a(n)=Product[(1 + 4*Sin[k*Pi/n]^2 + 16*Sin[k*Pi/n]^4 + 64*Sin[k*Pi/n]^6 + 256*Sin[k*Pi/n]^8), {k, 1, Floor[(n - 1)/2]}].at n=10A152144
• a(n) = binomial(n^3-2, n-2).at n=3A177837
• Number of nX3 0..1 arrays with every element unequal to 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero.at n=25A304297
• Number of 4-member subsets of [4*n] whose elements sum to a multiple of n.at n=31A318625
• Tetrahedral numbers that are not divisible by any smaller tetrahedral number except 1.at n=31A318701
• a(n) = A000292(6*n + 1) where A000292 are the tetrahedral numbers.at n=20A349682