OFFSET

1,1

COMMENTS

According to J. Baez, the reason why 42 is the Answer to the Ultimate Question of Life, the Universe, and Everything, cf. LINK.

A subsequence of A236681.

LINKS

J. Baez, 42.

EXAMPLE

The solutions [a,b,c] such that 1/a + 1/b + 1/c = 1/2 are {[3, 12, 12], [3, 7, 42], [3, 8, 24], [3, 9, 18], [3, 10, 15], [4, 5, 20], [4, 6, 12] [4, 8, 8], [5, 5, 10], [6, 6, 6]}.

PROG

(PARI) S=[]; for(a=2, 99, for(b=2, a, numerator(1/2-1/a-1/b)==1 && (S=setunion(S, Set([a, b, 1/(1/2-1/a-1/b)]))) && next(2))); S

CROSSREFS

KEYWORD

nonn,fini,full

AUTHOR

M. F. Hasler, Jan 29 2014

STATUS

approved