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A235341 Positive integers a such that there exist b, c with 1/a + 1/b + 1/c = 1/3 and a >= b >= c. 0
9, 12, 15, 18, 20, 21, 24, 28, 30, 36, 42, 45, 48, 60, 84, 120, 156 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A236681 for motivation.

LINKS

Table of n, a(n) for n=1..17.

EXAMPLE

The solutions are {[9, 9, 9], [12, 8, 8], [15, 10, 6], [18, 9, 6], [20, 12, 5], [21, 7, 7], [24, 8, 6], [28, 21, 4], [30, 10, 5], [36, 18, 4], [42, 7, 6], [45, 9, 5], [48, 16, 4], [60, 15, 4], [84, 14, 4], [120, 8, 5], [156, 13, 4]}.

PROG

(PARI) S=1/3; for(a=1+1\S, 999, for(b=ceil(2/(S-1/a)), a, numerator(S-1/a-1/b)==1 && print1(a", ")+next(2)))

CROSSREFS

Sequence in context: A248903 A138945 A119486 * A161345 A102655 A308748

Adjacent sequences:  A235338 A235339 A235340 * A235342 A235343 A235344

KEYWORD

nonn,fini,full

AUTHOR

M. F. Hasler, Jan 30 2014

STATUS

approved

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Last modified July 5 08:02 EDT 2020. Contains 335464 sequences. (Running on oeis4.)