A241914 After a(1)=0, numbers 0 .. A061395(n)-1, followed by numbers 0 .. A061395(n+1)-1, etc.

0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 3, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 4, 0, 1, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 0, 1, 2, 0, 0, 1, 2, 3, 4, 5, 6, 0, 1, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1, 0, 1, 2, 0, 1, 2, 3, 4, 5, 0, 1, 0, 1, 2, 3, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0

Offset

1,8

Links

Antti Karttunen, Table of n, a(n) for n = 1..10082

Formula

a(1)=0, a(n) = n - A203623(A241920(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 A061395(2)=1 (the index of the largest prime factor), we have here terms from 0 to 1-1)
  [3] 0, 1; (because A061395(3)=2, we have terms from 0 to 2-1)
  [4] 0;
  [5] 0, 1, 2; (because A061395(5)=3, we have terms from 0 to 3-1)
  [6] 0, 1;    (because A061395(6)=2, we have terms from 0 to 2-1)
  [7] 0, 1, 2, 3; (because A061395(7)=4, we have terms from 0 to 4-1)
etc.

Prog

(Scheme)
(define (A241914 n) (if (= n 1) 0 (- n (+ 2 (A203623 (- (A241920 n) 1))))))

Crossrefs

One less than A241915.

Cf. A203623, A241920, A241910, A241918.

Sequence in context: A325592 A161502 A279628 * A324393 A341279 A071482

Adjacent sequences: A241911 A241912 A241913 * A241915 A241916 A241917

Keyword

nonn,tabf

Author

Antti Karttunen, May 01 2014

Status

approved