A236683 Values of b of triples (a,b,c) of positive integers such that 1/a + 1/b + 1/c = 1/2 and a <= b <= c. Listed with multiplicity, corresponding to solutions (a,b,c) listed in lexicographic order.

7, 8, 9, 10, 12, 5, 6, 8, 5, 6

Offset

1,1

Comments

See A236681 for motivation, A236682 for a-values and A236684 for c-values.

Links

Table of n, a(n) for n=1..10.

Example

The solutions [a,b,c], listed in lexicographical order, are: {[3, 7, 42], [3, 8, 24], [3, 9, 18], [3, 10, 15], [3, 12, 12], [4, 5, 20], [4, 6, 12], [4, 8, 8], [5, 5, 10], [6, 6, 6]}.

Prog

(PARI) forvec(v=vector(3, i, [3, 42]), sum(j=1, 3, 1/v[j])==1/2 && print1(v[2]", "), 1)

Crossrefs

Cf. A236681, A236682, A236684.

Sequence in context: A058367 A035703 A065976 * A120200 A356635 A343297

Adjacent sequences: A236680 A236681 A236682 * A236684 A236685 A236686

Keyword

nonn,fini,full

Author

M. F. Hasler, Jan 29 2014

Status

approved