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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
Eric Weisstein's World of Mathematics, Unit Fraction.
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
KEYWORD
nonn,easy,tabl
AUTHOR
EXTENSIONS
Offset changed to 2 by Seiichi Manyama, Sep 18 2022
STATUS
approved

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Last modified June 16 12:15 EDT 2024. Contains 373429 sequences. (Running on oeis4.)