The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A050205 Triangle read by rows: number of terms in unit fraction representation of k/n using the greedy algorithm, 1<=k<=n-1. 5
 1, 1, 2, 1, 1, 2, 1, 2, 2, 3, 1, 1, 1, 2, 2, 1, 2, 3, 2, 3, 3, 1, 1, 2, 1, 2, 2, 3, 1, 2, 1, 2, 2, 2, 3, 3, 1, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 3, 2, 3, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 1, 1, 2, 2, 2, 3, 1, 2, 2, 3, 3, 3, 4, 1, 2, 1, 2, 1, 2, 3, 2, 2, 2, 3 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 2,3 LINKS Seiichi Manyama, Rows n = 2..141, flattened Eric Weisstein's World of Mathematics, Unit Fraction. Wikipedia, Greedy algorithm for Egyptian fractions. EXAMPLE 2/3 = 1/2 + 1/6. So T(3,2) = 2. n\k | 1 2 3 4 5 6 7 8 ----*------------------------ 2 | 1; 3 | 1, 2; 4 | 1, 1, 2; 5 | 1, 2, 2, 3; 6 | 1, 1, 1, 2, 2; 7 | 1, 2, 3, 2, 3, 3; 8 | 1, 1, 2, 1, 2, 2, 3; 9 | 1, 2, 1, 2, 2, 2, 3, 3; CROSSREFS Cf. A050206, A050210 (Largest denominator), A260618. Sequence in context: A025836 A029319 A243987 * A281530 A340260 A175190 Adjacent sequences: A050202 A050203 A050204 * A050206 A050207 A050208 KEYWORD nonn,easy,tabl AUTHOR Eric W. Weisstein EXTENSIONS Offset changed to 2 by Seiichi Manyama, Sep 18 2022 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 June 16 12:15 EDT 2024. Contains 373429 sequences. (Running on oeis4.)