also try
0=1|( <1; 2) {>p.|.1 3 2,-]720

1_

0=1|( <1; 2) {>p.|.1 3 2,-]719

0

 note that
(<1;2) {>p._y 2 3 1
will return an integer for a special number and this will be the first number of the sequence
based on x*x+1)*(x+2) -y=0 giving an integral root
p._720 2 3 1

┌─┬────────────────────────────┐

│1│_5.5j7.72981 _5.5j_7.72981 8│

└─┴────────────────────────────┘


a modification to x(x^2-1) gives an integral real root for the middle root
p. _720 _1 0 1

┌─┬────────────────────────────┐

│1│9 _4.5j7.72981 _4.5j_7.72981│

└─┴────────────────────────────┘

puts the real root first rather than last

As for finding a list of these special numbers-the "stope " function works well
f=:3^!.1~[:i.]

f 10

0 6 24 60 120 210 336 504 720 990


Don Kelly





On 06/08/2015 1:02 PM, Roger Hui wrote:
    g=: = (^&3 - ])@:(3&(>.@%:))
    g */"1 (10^40 60 80x)+/0 1 2
1 1 1


On Thu, Aug 6, 2015 at 11:23 AM, 'Pascal Jasmin' via Programming <
[email protected]> wrote:

(] = (^&3 - ])@:(1r3 >.@^~ ])) 990



----- Original Message -----
From: Kip Murray <[email protected]>
To: "[email protected]" <[email protected]>
Cc:
Sent: Thursday, August 6, 2015 1:58 PM
Subject: [Jprogramming] Detecting special products

The number  720  is  special: it is  8*9*10  the product of three
successive non-negative integers.  The first few special numbers are

     */"1 [ 0 1 2 +"1 0 i. 10
0 6 24 60 120 210 336 504 720 990

Write a verb  test  that tests whether a non-negative integer is special:

     test 720
1
     test 0
1
     test 721
0

--Kip Murray



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