cp's OEIS Frontend

A076596 Triangle read by rows: n-th row contains n numbers whose product is a square; all numbers in the triangle are distinct and the square is as small as possible.

%I A076596 #15 Apr 09 2025 20:56:13
%S A076596 1,2,8,3,4,12,5,7,10,14,6,9,15,18,20,11,13,16,22,25,26,17,19,21,27,28,
%T A076596 34,38,23,24,30,33,35,42,44,46
%N A076596 Triangle read by rows: n-th row contains n numbers whose product is a square; all numbers in the triangle are distinct and the square is as small as possible.
%C A076596 Differs from A076031 and A076696.
%H A076596 Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a076/A076596.java">Java program</a> (github)
%e A076596 Triangle begins:
%e A076596   1 = 1^2,
%e A076596   2 * 8 = 4^2,
%e A076596   3 * 4 * 12 = 12^2,
%e A076596   5 * 7 * 10 * 14 = 70^2,
%e A076596   6 * 9 * 15 * 18 * 20 = 540^2,
%e A076596   11 * 13 * 16 * 22 * 25 * 26 = 5720^2,
%e A076596   17 * 19 * 21 * 27 * 28 * 34 * 38 = 81396^2,
%e A076596   23 * 24 * 30 * 33 * 35 * 42 * 44 * 46 = 1275120^2, ...
%Y A076596 Cf. A076031, A076696.
%K A076596 nonn,tabl,more
%O A076596 1,2
%A A076596 _Donald S. McDonald_, Nov 10 2002
%E A076596 Name clarified and a(16)-a(36) from _Sean A. Irvine_, Apr 09 2025