

A076031


Group the natural numbers so that the nth group contains the smallest stillavailable set of n numbers whose product is a square.


11



1, 2, 8, 3, 4, 12, 5, 6, 7, 210, 9, 10, 11, 13, 1430, 14, 15, 16, 17, 18, 1785, 19, 20, 21, 22, 23, 24, 168245, 25, 26, 27, 28, 29, 30, 31, 409045, 32, 33, 34, 35, 36, 37, 38, 39, 119629510, 40, 41, 42, 43, 44, 45, 46, 47, 48, 293493662, 49, 50, 51, 52
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OFFSET

1,2


COMMENTS

There is some ambiguity in the definition. Exactly how is the next term to be chosen? Compare A076596, A076696.  N. J. A. Sloane, May 20 2003


LINKS

Table of n, a(n) for n=1..59.


EXAMPLE

1;
2, 8;
3, 4, 12;
5, 6, 7, 210;
9, 10, 11, 13, 1430;
14, 15, 16, 17, 18, 1785;
...


CROSSREFS

Cf. A076027, A076028, A076029, A076030.
Sequence in context: A016640 A321984 A083486 * A076596 A081967 A076099
Adjacent sequences: A076028 A076029 A076030 * A076032 A076033 A076034


KEYWORD

nonn,tabl


AUTHOR

Amarnath Murthy, Oct 01 2002


EXTENSIONS

Corrected and extended by Hans Havermann, Nov 09 2002


STATUS

approved



