login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A100869 Triangle read by rows: T(n,k) = minimal sum of denominators needed to write k/n (for 1 <= k <= n with gcd(k,n) = 1) as a sum of unit fractions, where k/n is in lowest terms. 2
2, 3, 8, 4, 6, 5, 18, 12, 17, 6, 5, 7, 32, 39, 16, 23, 36, 8, 12, 10, 14, 9, 24, 12, 20, 17, 23, 10, 15, 7, 20, 11, 72, 48, 36, 47, 24, 35, 95, 72, 60, 12, 10, 7, 12, 13, 98, 71, 82, 95, 101, 28, 41, 47, 58, 71, 96, 14, 21, 34, 9, 34, 41, 15, 32, 16, 21, 8, 23, 13, 15, 16, 24, 20, 28 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..75.

Index entries for sequences related to Egyptian fractions

EXAMPLE

The table starts:

2

3 8

4 6

5 18 12 17

T(5,2) = 18 because the minimal sum of unit fractions is 2/5 = 1/3 + 1/15 and 3+15=18.

CROSSREFS

Cf. A100870, A100871.

Sequence in context: A145605 A275708 A111809 * A110142 A158928 A198369

Adjacent sequences:  A100866 A100867 A100868 * A100870 A100871 A100872

KEYWORD

nonn,tabf

AUTHOR

Franklin T. Adams-Watters, Nov 20 2004

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 20 08:20 EDT 2021. Contains 348099 sequences. (Running on oeis4.)