A048620 a(n) is the maximal value of Omega(binomial(n,k)) over k, where Omega = A001222.

0, 1, 1, 2, 2, 3, 2, 4, 4, 5, 4, 6, 5, 6, 5, 7, 6, 8, 6, 8, 8, 8, 6, 9, 9, 9, 10, 11, 10, 11, 9, 12, 12, 12, 11, 14, 13, 13, 11, 14, 12, 14, 12, 13, 14, 15, 12, 15, 15, 15, 14, 16, 14, 17, 15, 17, 17, 16, 14, 17, 15, 16, 14, 19, 18, 20, 18, 18, 18, 20, 17, 20, 19, 19, 19, 20, 19, 21

Offset: 1

Author

Labos Elemer

Keywords

• nonn

Examples

			n=24: the values of Omega(binomial(24,k)) as k runs from 0 to 24 are {0, 4, 4, 5, 5, 7, 6, 8, 6, 8, 8, 9, 7, 9, 8, 8, 6, 8, 6, 7, 5, 5, 4, 4, 0}. The maximum is 9, so a(24)=9.
		

Crossrefs

Cf. A001222, A001221, A046660, A048273, A048275.

Programs

PARI

a(n) = vecmax(vector(n+1, k, bigomega(binomial(n, k-1)))); \\ Michel Marcus, May 14 2018