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A372259 Numbers k which have a factorization k = f_1*f_2*...*f_r where f_i >= 1 and the digits of {k, f_1, f_2, ..., f_r} together give 0,1,...,9 exactly once.

%I A372259 #8 Apr 25 2024 13:50:03
%S A372259 4830,6970,7056,7096,7290,7690,7830,8370,8596,8652,8790,8970,9076,
%T A372259 9360,9370,9380,9670,9706,9720,9730,9870,10752,12780,14760,14820,
%U A372259 15628,15678,16038,16704,17082,17820,17920,18720,19084,19240,20457,20574,20754,21658,24056,24507,25803,26180,26910,27504,28156,28651,30296,30576,30752,31920,32760,32890,34902,36508,47320,58401,65128,65821
%N A372259 Numbers k which have a factorization k = f_1*f_2*...*f_r where f_i >= 1 and the digits of {k, f_1, f_2, ..., f_r} together give 0,1,...,9 exactly once.
%C A372259 A370970 is a subsequence. In contrast to A370970, here the factors f_i are allowed to be equal to 1.
%e A372259 The complete list of terms:
%e A372259   4830 = 1*2*5*7*69
%e A372259   6970 = 1*2*3485
%e A372259   7056 = 1*3*24*98 = 1*3*8*294
%e A372259   7096 = 1*2*3548
%e A372259   7290 = 1*3*5*486
%e A372259   7690 = 1*2*3845
%e A372259   7830 = 1*6*29*45
%e A372259   8370 = 1*2*9*465
%e A372259   8596 = 2*14*307
%e A372259   8652 = 1*4*7*309
%e A372259   8790 = 2*3*1465
%e A372259   8970 = 1*26*345
%e A372259   9076 = 1*2*4538
%e A372259   9360 = 1*5*24*78 = 2*4*15*78
%e A372259   9370 = 1*2*4685
%e A372259   9380 = 2*5*14*67
%e A372259   9670 = 1*2*4835
%e A372259   9706 = 1*2*4853
%e A372259   9720 = 1*3*5*648
%e A372259   9730 = 1*2*4865
%e A372259   9870 = 2*3*1645
%e A372259  10752 = 3*4*896
%e A372259  12780 = 4*5*639
%e A372259  14760 = 5*9*328
%e A372259  14820 = 5*39*76
%e A372259  15628 = 4*3907
%e A372259  15678 = 39*402
%e A372259  16038 = 54*297 = 27*594
%e A372259  16704 = 9*32*58
%e A372259  17082 = 3*5694
%e A372259  17820 = 45*396 = 36*495
%e A372259  17920 = 8*35*64
%e A372259  18720 = 4*5*936
%e A372259  19084 = 52*367
%e A372259  19240 = 8*37*65
%e A372259  20457 = 3*6819
%e A372259  20574 = 6*9*381
%e A372259  20754 = 3*6918
%e A372259  21658 = 7*3094
%e A372259  24056 = 8*31*97
%e A372259  24507 = 3*8169
%e A372259  25803 = 9*47*61
%e A372259  26180 = 4*7*935
%e A372259  26910 = 78*345
%e A372259  27504 = 3*9168
%e A372259  28156 = 4*7039
%e A372259  28651 = 7*4093
%e A372259  30296 = 7*8*541
%e A372259  30576 = 8*42*91
%e A372259  30752 = 4*8*961
%e A372259  31920 = 5*76*84
%e A372259  32760 = 8*45*91
%e A372259  32890 = 46*715
%e A372259  34902 = 6*5817
%e A372259  36508 = 4*9127
%e A372259  47320 = 8*65*91
%e A372259  58401 = 63*927
%e A372259  65128 = 7*9304
%e A372259  65821 = 7*9403
%Y A372259 Cf. A370970, A370972, A372106.
%K A372259 nonn,base,full,fini
%O A372259 1,1
%A A372259 _Chai Wah Wu_, Apr 24 2024