69804

Appears in sequences

• E.g.f.: cos(log(x+1)-sin(x))= 1-3/4!*x^4+30/5!*x^5-180/6!*x^6+1113/7!*x^7...at n=9A013214
• Primitive elements of A065607.at n=27A120692
• Number of base pyramids in all dispersed Dyck paths of length n (i.e., in all Motzkin paths of length n with no (1,0)-steps at positive heights).at n=17A191394
• Number of regions formed when every pair of vertices of a regular n-gon are joined by an infinite line.at n=28A345025
• Expansion of e.g.f. 1 / (1 - log(1 - x)^4 / 4!).at n=9A346923
• a(n) = P(n+1, n+1) where P(n, m) = P(n, m-1) + P(n-1, m + f(m-n)) for n < m with P(n, m) = P(n-1, m) for 0 <= m <= n and P(0, m) = 1 for m >= 0 and where f(n) = [(n mod 6) > 0].at n=8A376395