44933

Appears in sequences

• a(n) = 7*a(n-1) - 14*a(n-2) + 7*a(n-3) with a(1)=7, a(2)=21, a(3)=70.at n=7A215494
• Sum of n-th powers of the roots of x^3 + 7*x^2 + 14*x + 7.at n=8A322459
• Number of integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z.at n=43A344740
• Number of integer partitions of n with an alternating permutation.at n=43A345170