

A076254


A list of six integers with property that for every 3 numbers a,b,c from the list axbxc is an integer, where axb=a*b/(a+b) and axbxc=a*b*c/(a*b+a*c+b*c). This is the socalled replus operation.


0




OFFSET

1,1


COMMENTS

a(1) is the least common multiple of every ab+ac+bc, where a,b,c=1,2,3,4,6,8.


REFERENCES

Zoltan Kovacs, Abacus 2001.5 (Hungarian periodical)


LINKS

Table of n, a(n) for n=1..6.


FORMULA

a(n)=n*a(1) for n=1, 2, 3, 4 a(5)=6*a(1), a(6)=8*a(1)


EXAMPLE

a(1)*a(2)*a(3) = a(1)*2a(1)*3a(1)/(a(1)*2a(1) + a(1)*3a(1) + 2a(1)*3a(1)) = 6a(1)/11 is an integer because 11  a(1).


CROSSREFS

Sequence in context: A204781 A288477 A268846 * A213689 A015432 A034618
Adjacent sequences: A076251 A076252 A076253 * A076255 A076256 A076257


KEYWORD

fini,full,nonn


AUTHOR

Miklos Kristof, Nov 05 2002


STATUS

approved



