34751

Appears in sequences

• a(n) = n*(7*n^2 - 1)/6.at n=31A004126
• Triangle read by rows: Distinct classifications of N elements containing exactly R binary partitions.at n=64A171871
• Subdiagonal of triangle A171871: Classifications of N elements containing exactly N-2 binary partitions.at n=9A171875
• Numbers that can be written in more than 1 way as p^2 + 3pq + q^2 with primes p < q.at n=15A218795
• Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 2 array.at n=25A219589
• Number of n X n arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction.at n=3A221477
• Number of nX4 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction.at n=3A221479
• T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction.at n=24A221483
• Number of 4Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction.at n=3A221486
• Number of Dyck paths of semilength 2n such that the maximal number of peaks per level equals n.at n=7A287860
• Number of Dyck paths of semilength n such that the maximal number of peaks per level equals seven.at n=7A288748
• Number of inversion sequences of length n avoiding the consecutive patterns 012, 021, 010, 120.at n=10A328358
• Expansion of the o.g.f. (1 + 8*x + 10*x^2 + 8*x^3 + x^4)/((1 - x)^4*(1 + x)^2).at n=30A342362