A241915 After a(1)=1, numbers 1 .. A061395(n), followed by numbers 1 .. A061395(n+1), etc.

1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 2, 3, 4, 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 5, 1, 2, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 1, 2, 3, 1, 1, 2, 3, 4, 5, 6, 7, 1, 2, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 1, 2, 3, 1, 2, 3, 4, 5, 6, 1, 2, 1, 2, 3, 4, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1

Offset

1,4

Links

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

Formula

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

Prog

(Scheme)
(define (A241915 n) (if (= n 1) 1 (- n (A203623 (- (A241920 n) 1)) 1)))

Crossrefs

One more than A241914.

Cf. A203623, A241920, A241911.

Sequence in context: A141289 A368878 A284271 * A301891 A332089 A177219

Adjacent sequences: A241912 A241913 A241914 * A241916 A241917 A241918

Keyword

nonn,tabf

Author

Antti Karttunen, May 01 2014

Status

approved