[seqfan] Regular maicable k-uples that follow a specific construction pattern

[michel.marcus at free.fr]

Hi S eqfans, 

Explanations 
(220, 284) is a regular pair. 
gcd is 4 
220=4*55 and 284=4*71 
other x with sigma(x) are: [30, 46, 51, 55, 71] 
55 and 71 are the 2 greatest integers of these x's. 
============================================ 
[220, 284], 504 
= 4 [55, 71] 
sigma : [72, 72] 
by [30, 46, 51, 55, 71] 
============================================ 
[289855488, 294168576, 296564736], 880588800 
= 79872 [3629, 3683, 3713] 
sigma : [3840, 3840, 3840] 
by [1674, 1736, 1995, 2079, 2558, 2607, 2679, 2697, 2765, 2945, 3059, 3353, 3629, 3683, 3713] 
============================================= 
[138710880, 153080928, 155475936, 167450976], 614718720 
= 199584 [695, 767, 779, 839] 
sigma : [840, 840, 840, 840] 
by [312, 348, 380, 494, 695, 767, 779, 839] 
============================================= 
[227491164588441600, 228507506351308800, 229862628701798400, 230878970464665600, 243752632794316800], 1160492902900531200 
= 169390293811200 [1343, 1349, 1357, 1363, 1439] 
sigma : [1440, 1440, 1440, 1440, 1440] 
by [552, 570, 594, 616, 790, 826, 874, 885, 957, 958, 969, 1015, 1045, 1077, 1195, 1253, 1343, 1349, 1357, 1363, 1439] 
============================================= 
[8227672004190010724352000, 8316395804494798884864000, 8379378749155605295104000, 8439075627138456588288000, 8528894783002563121152000, 8587496305426096041984000] 
= 91279629943197696000 [90137, 91109, 91799, 92453, 93437, 94079] 
sigma : [94080, 94080, 94080, 94080, 94080, 94080] 
by [30996, 31668, 32292, 32604, 34580, 35196, 36666, 37284, 37608, 38076, 383 64, 
38868, 40308, 42812, 44156, 44780, 45188, 45978, 46436, 46748, 50168, 51956, 
 52628, 52772, 54866, 55377, 58214, 58617, 58785, 59073, 59546, 59631, 60237, 
60 819, 61503, 61719, 61994, 63245, 63477, 64505, 69441, 69549, 69639, 70889, 76349 
, 78071, 78395, 80759, 84071, 84293, 84929, 85241, 86621, 87203, 87347, 89357, 9 0137, 
91109, 91799, 92453, 93437, 94079] 
============================================= 

Best 
Michel