The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A137734 a(0)=1. a(n) = ceiling(n/b(n)), where b(n) is the largest value among (a(0),a(1),...,a(n-1)). 3
 1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Given a(1) = 1, a(n) represents the least number of coins needed to make n cents using coins in the denominations of a(m) for 0 < m < n. For instance, a(10) = 4 because 10 = a(5) + a(5) + a(5) + a(1), and this is the smallest collection of coins with this property. - Alec Jones, Apr 11 2016 LINKS Peter Kagey, Table of n, a(n) for n = 0..10000 FORMULA For all m>=2, a(k) = m if m^2-m+1 <= k <= m^2, a(m^2 +1) = m+1, a(k) = m if m^2 +2 <= k <= m^2 +m. EXAMPLE The largest value among terms a(0) through a(12) is 4. So a(13) = ceiling(13/4) = 4. MATHEMATICA Fold[Append[#1, Ceiling[#2/Max@ #1]] &, {1}, Range@ 100] (* Michael De Vlieger, Oct 16 2017 *) CROSSREFS Cf. A137735, A271566. Sequence in context: A112310 A350240 A342739 * A366066 A352627 A182210 Adjacent sequences: A137731 A137732 A137733 * A137735 A137736 A137737 KEYWORD easy,nonn AUTHOR Leroy Quet, Feb 09 2008 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified March 1 16:12 EST 2024. Contains 370442 sequences. (Running on oeis4.)