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A241910 After a(1)=0, numbers 0 .. bigomega(n)-1, followed by numbers 0 .. bigomega(n+1)-1, etc., where bigomega(n)=A001222(n) is the number of prime factors of n (with repetition). 3
0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 3, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 3, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 3, 4, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 0, 0, 1, 0, 1, 0, 1, 2, 3, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 3, 4, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 3, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,12

LINKS

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

FORMULA

a(1)=0, a(n) = n - A022559(A082288(n)-1) - 2.

EXAMPLE

Viewed as an irregular table, the sequence is constructed as:

"Row"

  [1] 0; (by convention, a(1)=0)

  [2] 0; (because bigomega(2)=1, we have here terms from 0 to 0)

  [3] 0; (same with 3, bigomega(3)=1)

  [4] 0, 1; (as bigomega(4)=2, we have terms from 0 to 2-1)

  [5] 0;

  [6] 0, 1;

  [7] 0;

  [8] 0, 1, 2; (as bigomega(8)=3, we have terms from 0 to 3-1).

etc.

PROG

(Scheme, with Antti Karttunen's IntSeq-library)

(define (A241910 n) (if (= n 1) 0 (- n (+ 2 (A022559 (- (A082288 n) 1))))))

CROSSREFS

One less than A241911.

Cf. A022559, A082288, A112798, A241914.

Sequence in context: A070095 A060951 A115525 * A065717 A070092 A307837

Adjacent sequences:  A241907 A241908 A241909 * A241911 A241912 A241913

KEYWORD

nonn,tabf

AUTHOR

Antti Karttunen, May 01 2014

STATUS

approved

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Last modified November 21 16:04 EST 2019. Contains 329371 sequences. (Running on oeis4.)