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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). 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

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

FORMULA

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

EXAMPLE

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.

PROG

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

(define (A241911 n) (if (= n 1) 1 (- n (A022559 (- (A082288 n) 1)) 1)))

CROSSREFS

One more than A241910.

Cf. A022559, A082288, A241915.

Sequence in context: A240061 A012257 A162320 * A335221 A136610 A326371

Adjacent sequences:  A241908 A241909 A241910 * A241912 A241913 A241914

KEYWORD

nonn,tabf

AUTHOR

Antti Karttunen, May 01 2014

STATUS

approved

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Last modified August 13 02:09 EDT 2020. Contains 336441 sequences. (Running on oeis4.)