42236

Appears in sequences

• One half of the number of permutations of [n] such that the differences have three runs with the same signs.at n=7A000352
• Triangle T(n,k) = P(n,k)/2, n >= 2, 1 <= k < n, of one-half of number of permutations of 1..n such that the differences have k runs with the same signs.at n=47A008970
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, 1), (0, 1, 0), (1, -1, -1)}.at n=10A149827
• Numbers n with property that n^2 is a sum of some 120 successive primes.at n=22A166262