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%I #23 Apr 05 2021 04:03:48
%S 1,2,3,4,5,6,7,8,9,36,15,24,384,175,12,735,128,672,135,144,1575,11,
%T 1296,139968,624,3276,1886976,224,816,216,432,34992,1197,12768,315,
%U 132,3168,115,6624,8832,2916,1176,1344,3915,739935
%N Zuckerman numbers (A007602) ordered by increasing value of k/A007954(k) where A007954(k) is the product of the decimal digits of k.
%C a(n) is the Zuckerman number corresponding to A343036(n).
%e As a table, sequence begins:
%e 1 [1, 2, 3, 4, 5, 6, 7, 8, 9]
%e 2 [36]
%e 3 [15, 24]
%e 4 [384]
%e 5 [175]
%e 6 [12]
%e 7 [735]
%e 8 [128, 672]
%e 9 [135, 144, 1575]
%e 10 []
%e 11 [11]
%e 12 [1296, 139968]
%e 13 [624, 3276, 1886976]
%e 14 [224]
%e 15 []
%e 16 []
%e 17 [816]
%e 18 [216, 432, 34992]
%e 19 [1197, 12768]
%e 20 []
%e 21 [315]
%e 22 [132, 3168]
%e 23 [115, 6624, 8832]
%e 24 []
%e 25 []
%e 26 []
%e 27 [2916]
%e 28 [1176, 1344]
%e 29 [3915, 739935]
%e 30 []
%e ... where the 1st column is A056770 and the number of terms per rows is A339757.
%Y Cf. A007954 (product of decimal digits), A007602 (Zuckerman numbers), A056770.
%Y Cf. A288069 (Zuckerman quotients), A342593 (Zuckerman non-quotients), A343036.
%Y Cf. A339757.
%K nonn,base,more
%O 1,2
%A _Michel Marcus_, Apr 03 2021
%E a(29)-a(45) from _David A. Corneth_, Apr 03 2021