18030

Appears in sequences

• Values of k such that {P(k), P(k+1), ..., P(k+6)} are all prime numbers, where P(k) = 4*k^2 - 154*k + 1523.at n=50A090111
• Expansion of 3 * q^(1/3) * phi(q) * psi(q^6) / c(q) in powers of x where phi(), psi() are Ramanujan theta functions and c() is a cubic AGM theta function.at n=45A233037
• G.f.: Product_{k>=1} (1 + x^(k*(k+1)/2)) / (1 - x^k).at n=29A280421
• Number of distinct topologies on an n-set that have exactly 10 open sets.at n=6A281778
• Sum of the fourth largest parts in the partitions of n into 7 parts.at n=43A308930
• Triangle read by rows. Each term of the triangle is positive and distinct. In row k are the next k least numbers such that the sum of any one number from each of the first k rows is a prime number.at n=6A359668