A241911 After a(1)=1, numbers 1 .. bigomega(n), followed by numbers 1 .. bigomega(n+1), etc., where bigomega(n)=A001222(n) is the number of prime factors of n (with repetition).

1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 2, 1, 2, 1, 2, 3, 4, 1, 1, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 1, 1, 2, 3, 4, 1, 2, 1, 2, 1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 3, 4, 5, 1, 2, 1, 2, 1, 2, 1, 2, 3, 4, 1, 1, 2, 1, 2, 1, 2, 3, 4, 1, 1, 2, 3, 1, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 2, 3, 4, 5, 1, 2, 1, 2, 3, 1, 2, 1, 2, 3, 1, 1, 2, 3, 4, 1

Offset: 1

Author

Antti Karttunen, May 01 2014

Keywords

• nonn
• tabf

Examples

			Viewed as an irregular table, the sequence is constructed as:
"Row"
  [1] 1; (by convention, a(1)=1)
  [2] 1; (because bigomega(2)=1, we have here terms from 1 to 1)
  [3] 1; (same with 3, bigomega(3)=1)
  [4] 1, 2; (as bigomega(4)=2, we have terms from 1 to 2)
  [5] 1;
  [6] 1, 2;
  [7] 1;
  [8] 1, 2, 3; (as bigomega(8)=3, we have terms from 1 to 3).
etc.
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000

Crossrefs

One more than A241910.

Cf. A022559, A082288, A241915.

Formula

a(1)=1, a(n) = n - A022559(A082288(n)-1) - 1.