A280062 a(n) = A049502(A000142(n)).

0, 0, 0, 0, 0, 0, 13, 16, 22, 38, 47, 73, 60, 127, 160, 166, 194, 249, 348, 345, 359, 497, 532, 682, 709, 727, 1000, 887, 1312, 1155, 1297, 1934, 2069, 1722, 1796, 2148, 2337, 1839, 2595, 2774, 2440, 3314, 3450, 3253, 3379, 3786, 4466, 4366, 4795, 5189, 5598

Offset: 0

Author

Indranil Ghosh, Jan 04 2017

Keywords

• nonn

Comments

a(n) is the major index (2nd definition) of n!.

Examples

			for n=15, A000142(n) = 1307674368000 and A049502(1307674368000) = 166. So a(n) = 166.
		

Links

• Indranil Ghosh, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A049502, A000142.

Programs

Python

import math
def m(N):
    x=bin(int(N))[2:][::-1]
    s=0
    for i in range(1,len(x)):
        if x[i-1]=="1" and x[i]=="0":
            s+=i
    return s
a=lambda n: m(math.factorial(n))