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A238795 The unique set of eleven distinct positive odd numbers up to 105 the sum of whose reciprocals is 1. 2
3, 5, 7, 9, 11, 33, 35, 45, 55, 77, 105 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For any set of distinct numbers whose reciprocals sum to 1, the largest must be neither a prime nor a prime power.

For sets of 11 distinct positive odd numbers, relaxing the a(11) <= 105 constraint allows a second solution at 115 (3, 5, 7, 9, 15, 21, 23, 45, 69, 105, 115), a third at 117 (3, 5, 7, 9, 13, 21, 35, 39, 63, 105, 117), 3 more at 135, 2 more at 143, and 2 more at 165. - Jon E. Schoenfield, Mar 07 2014

LINKS

Table of n, a(n) for n=1..11.

Index entries for sequences related to Egyptian fractions

EXAMPLE

1/3 + 1/5 + 1/7 + 1/9 + 1/11 + 1/33 + 1/35 + 1/45 + 1/55 + 1/77 + 1/105 = 1.

CROSSREFS

Cf. A201644, A239036.

Sequence in context: A264734 A004156 A081936 * A265079 A092361 A029950

Adjacent sequences:  A238792 A238793 A238794 * A238796 A238797 A238798

KEYWORD

nonn,fini,full

AUTHOR

Arkadiusz Wesolowski, Mar 05 2014

STATUS

approved

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Last modified August 7 17:43 EDT 2020. Contains 336278 sequences. (Running on oeis4.)