A094173 a(n) = m if m has already occurred at least once and n=k+i*(m+1) where k is the index of the first occurrence of n and i=1,...,max(n-1,1), otherwise a(n) = least positive integer that has not yet occurred.

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

Offset: 1

Author

Amarnath Murthy, Jun 01 2004

Keywords

• nonn
• fini
• full

Comments

Is the sequence possible for all n?

a(16) does not exist: it would have to be 4 (since a(6) = a(11) = 4 and so a(6 + 2*(4 + 1)) = a(16) = 4) and also 6 (since a(9) = 6 and so a(9 + 1*(6 + 1)) = a(16) = 6) simultaneously. - Herman Jamke (hermanjamke(AT)fastmail.fm), May 01 2008

Crossrefs

Cf. A095162, A095163, A095164.

Extensions

Edited by Herman Jamke (hermanjamke(AT)fastmail.fm), May 01 2008